{VERSION 6 0 "IBM INTEL NT" "6.0" }
{USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 
1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 
0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 256 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
257 "" 1 18 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 258 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 259 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 261 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
262 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 263 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 264 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 265 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 266 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
267 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 268 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 269 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 270 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 271 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
272 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 273 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 274 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 275 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 276 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
277 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 278 "" 0 14 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 279 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 280 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 281 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
282 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 283 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 284 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 285 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 286 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
287 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 288 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 289 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 290 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 291 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
292 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 293 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 294 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 295 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 296 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
297 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 298 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 299 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 300 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 301 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
302 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 303 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 304 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 305 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 306 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
307 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 308 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 309 "" 0 1 0 0 0 0 0 1 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 310 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 311 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
312 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 313 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 314 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 315 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 316 "" 0 14 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
317 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 318 "" 0 1 0 0 
0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 319 "" 0 1 0 0 0 0 0 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 321 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 322 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
323 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 324 "" 0 1 0 0 
0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 325 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 326 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 327 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
328 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 329 "" 0 1 0 0 
0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 330 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 331 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 332 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
333 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 334 "" 0 1 0 0 
0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 335 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 336 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 337 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
338 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 339 "" 0 1 0 0 
0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 340 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 341 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 342 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
343 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 344 "" 0 1 0 0 
0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 345 "" 0 1 0 0 0 0 0 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 346 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 347 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
348 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 349 "" 0 1 0 0 
0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 350 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 351 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 353 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
354 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 355 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 357 "" 0 1 0 0 0 0 0 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 358 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 359 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
360 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 361 "" 0 1 0 0 
0 0 0 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 362 "" 0 1 0 0 0 0 1 1 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 363 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 364 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
365 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 366 "" 0 1 0 0 
0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 367 "" 0 1 0 0 0 0 1 1 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 368 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 369 "" 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
370 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 371 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 372 "" 0 1 0 0 0 0 0 0 0 0 0 0 
0 0 0 1 }{CSTYLE "" -1 373 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 }
{CSTYLE "" -1 374 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
375 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 376 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 377 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 378 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 379 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 
380 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 381 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 382 "" 0 1 0 0 0 0 1 0 0 0 0 0 
0 0 0 0 }{CSTYLE "" -1 383 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }
{CSTYLE "" -1 384 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 
385 "" 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 386 "" 0 1 0 0 
0 0 1 0 0 0 0 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Tim
es" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }
{PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 0 1 2 1 
2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 2" -1 
4 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 
0 8 2 1 0 1 0 2 2 0 1 }{PSTYLE "Warning" -1 7 1 {CSTYLE "" -1 -1 "Cour
ier" 1 10 0 0 255 1 2 2 2 2 2 1 1 1 3 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }
{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 
2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Outpu
t" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }
1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" 
-1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 
2 0 1 }{PSTYLE "Normal" -1 256 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 
1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" 
-1 257 1 {CSTYLE "" -1 -1 "Times" 1 14 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 
1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Heading 1" -1 258 1 {CSTYLE "" -1 
-1 "Times" 1 18 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 1 0 1 0 2 2 
0 1 }}
{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 0 "" }{TEXT 256 0 "" }{TEXT 
257 63 "Maple Commands for Chapter 9: Vectors and the Geometry of Spac
e" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 254 "In \+
this session, we show how Maple can easily perform basic vector comput
ations such as adding, subtracting and finding the dot and cross produ
cts of vectors. We then show how we can use Maple to find and graph th
e equation of vectors, lines, and planes." }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}{PARA 0 "" 0 "" {TEXT -1 46 "To begin, we unassign all variable
s using the " }{TEXT 259 8 "restart " }{TEXT -1 8 "command." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "restart;" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 12 "The package " }{TEXT 260 6 "linalg" }{TEXT -1 144 
" is a package of routines specifically designed to work with vectors.
 To see what routines are available and to read this into our session \+
enter" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "with(LinearAlgebra
);" }{TEXT -1 0 "" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7br%#&xG%$AddG%(A
djointG%3BackwardSubstituteG%+BandMatrixG%&BasisG%-BezoutMatrixG%/Bidi
agonalFormG%-BilinearFormG%5CharacteristicMatrixG%9CharacteristicPolyn
omialG%'ColumnG%0ColumnDimensionG%0ColumnOperationG%,ColumnSpaceG%0Com
panionMatrixG%0ConditionNumberG%/ConstantMatrixG%/ConstantVectorG%%Cop
yG%2CreatePermutationG%-CrossProductG%-DeleteColumnG%*DeleteRowG%,Dete
rminantG%)DiagonalG%/DiagonalMatrixG%*DimensionG%+DimensionsG%+DotProd
uctG%6EigenConditionNumbersG%,EigenvaluesG%-EigenvectorsG%&EqualG%2For
wardSubstituteG%.FrobeniusFormG%4GaussianEliminationG%2GenerateEquatio
nsG%/GenerateMatrixG%2GetResultDataTypeG%/GetResultShapeG%5GivensRotat
ionMatrixG%,GramSchmidtG%-HankelMatrixG%,HermiteFormG%3HermitianTransp
oseG%/HessenbergFormG%.HilbertMatrixG%2HouseholderMatrixG%/IdentityMat
rixG%2IntersectionBasisG%+IsDefiniteG%-IsOrthogonalG%*IsSimilarG%*IsUn
itaryG%2JordanBlockMatrixG%+JordanFormG%(LA_MainG%0LUDecompositionG%-L
eastSquaresG%,LinearSolveG%$MapG%%Map2G%*MatrixAddG%2MatrixExponential
G%/MatrixFunctionG%.MatrixInverseG%5MatrixMatrixMultiplyG%+MatrixNormG
%,MatrixPowerG%5MatrixScalarMultiplyG%5MatrixVectorMultiplyG%2MinimalP
olynomialG%&MinorG%(ModularG%)MultiplyG%,NoUserValueG%%NormG%*Normaliz
eG%*NullSpaceG%3OuterProductMatrixG%*PermanentG%&PivotG%*PopovFormG%0Q
RDecompositionG%-RandomMatrixG%-RandomVectorG%%RankG%6RationalCanonica
lFormG%6ReducedRowEchelonFormG%$RowG%-RowDimensionG%-RowOperationG%)Ro
wSpaceG%-ScalarMatrixG%/ScalarMultiplyG%-ScalarVectorG%*SchurFormG%/Si
ngularValuesG%*SmithFormG%*SubMatrixG%*SubVectorG%)SumBasisG%0Sylveste
rMatrixG%/ToeplitzMatrixG%&TraceG%*TransposeG%0TridiagonalFormG%+UnitV
ectorG%2VandermondeMatrixG%*VectorAddG%,VectorAngleG%5VectorMatrixMult
iplyG%+VectorNormG%5VectorScalarMultiplyG%+ZeroMatrixG%+ZeroVectorG%$Z
ipG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 21 "We will also use the " }
{TEXT 258 5 "plots" }{TEXT -1 53 " package so we read this into our se
ssion by entering" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(p
lots);" }}{PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords \+
has been redefined\n" }}{PARA 12 "" 1 "" {XPPMATH 20 "6#7gn%,Interacti
veG%(animateG%*animate3dG%-animatecurveG%&arrowG%-changecoordsG%,compl
explotG%.complexplot3dG%*conformalG%,conformal3dG%,contourplotG%.conto
urplot3dG%*coordplotG%,coordplot3dG%-cylinderplotG%,densityplotG%(disp
layG%*display3dG%*fieldplotG%,fieldplot3dG%)gradplotG%+gradplot3dG%,gr
aphplot3dG%-implicitplotG%/implicitplot3dG%(inequalG%,interactiveG%2in
teractiveparamsG%-listcontplotG%/listcontplot3dG%0listdensityplotG%)li
stplotG%+listplot3dG%+loglogplotG%(logplotG%+matrixplotG%)multipleG%(o
deplotG%'paretoG%,plotcompareG%*pointplotG%,pointplot3dG%*polarplotG%,
polygonplotG%.polygonplot3dG%4polyhedra_supportedG%.polyhedraplotG%'re
plotG%*rootlocusG%,semilogplotG%+setoptionsG%-setoptions3dG%+spacecurv
eG%1sparsematrixplotG%+sphereplotG%)surfdataG%)textplotG%+textplot3dG%
)tubeplotG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{SECT 1 
{PARA 3 "" 0 "" {TEXT -1 25 "Basic Vector Computations" }}{PARA 0 "" 
0 "" {TEXT -1 167 "Maple can quickly perform basic vector computations
 such as vector addition, substraction, scalar multiplication, the vec
tor dot product, and the vector cross product." }}{SECT 1 {PARA 4 "" 
0 "" {TEXT -1 16 "Entering Vectors" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
10 "Using the " }{TEXT 261 6 "Vector" }{TEXT -1 18 " command with the \+
" }{TEXT 266 4 "row " }{TEXT -1 14 "option in the " }{TEXT 262 14 "Lin
earAlgebra " }{TEXT -1 45 "package, we will enter the following vector
s " }{XPPEDIT 18 0 "v[1] = -i+j+2*k;" "6#/&%\"vG6#\"\"\",(%\"iG!\"\"%
\"jGF'*&\"\"#F'%\"kGF'F'" }{TEXT -1 3 ",  " }{XPPEDIT 18 0 "v[2] = i-2
*j+k;" "6#/&%\"vG6#\"\"#,(%\"iG\"\"\"*&F'F*%\"jGF*!\"\"%\"kGF*" }
{TEXT -1 7 " , and " }{XPPEDIT 18 0 "v[3] = -5*i-4*j+2*k;" "6#/&%\"vG6
#\"\"$,(*&\"\"&\"\"\"%\"iGF+!\"\"*&\"\"%F+%\"jGF+F-*&\"\"#F+%\"kGF+F+
" }{TEXT -1 33 ". The vectors are entered in the " }{TEXT 263 6 "Vecto
r" }{TEXT -1 18 " command with the " }{TEXT 267 3 "row" }{TEXT -1 70 "
 option by components. Make sure you distinguish between the brackets \+
" }{TEXT 264 5 "[  ] " }{TEXT -1 16 "and parentheses " }{TEXT 265 5 "(
  ) " }{TEXT -1 85 " in the syntax. Also, make sure you distinguish be
tween upper and lower case letters." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 30 "v1 := Vector[row]([-1, 1, 2]);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#v1G-%'RTABLEG6%\"*C)e#[\"-%'VECTORG6#7%!\"\"\"\"\"\"
\"#&%'VectorG6#%$rowG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "v2
 := Vector[row]([1, -2, 1]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#v2G
-%'RTABLEG6%\"*7x')\\\"-%'VECTORG6#7%\"\"\"!\"#F-&%'VectorG6#%$rowG" }
}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 31 "v3 := Vector[row]([-5, -4,
 2]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#v3G-%'RTABLEG6%\"*7C!)\\\"
-%'VECTORG6#7%!\"&!\"%\"\"#&%'VectorG6#%$rowG" }}}{EXCHG {PARA 0 "" 0 
"" {TEXT -1 68 "To see what is entered for a vector, simply enter the \+
variable name." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "v1;" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#-%'RTABLEG6%\"*C)e#[\"-%'VECTORG6#7%!
\"\"\"\"\"\"\"#&%'VectorG6#%$rowG" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}
}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 31 "Adding and subtracting vectors.
" }}{PARA 0 "" 0 "" {TEXT -1 77 "Maple easily adds and subtracts vecto
rs. To compute and store the result of  " }{XPPEDIT 18 0 "2*v[1]-3*v[2
]+10*v[3]" "6#,(*&\"\"#\"\"\"&%\"vG6#F&F&F&*&\"\"$F&&F(6#F%F&!\"\"*&\"
#5F&&F(6#F+F&F&" }{TEXT -1 16 ", we would enter" }}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 28 "vres := 2*v1 - 3*v2 + 10*v3;" }}{PARA 11 "" 1 
"" {XPPMATH 20 "6#>%%vresG-%'RTABLEG6%\"*?N8]\"-%'VECTORG6#7%!#b!#K\"#
@&%'VectorG6#%$rowG" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 87 "Computin
g the length of a vector and a unit vector in the direction of the giv
en vector" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 15 "We can use the " }
{TEXT 268 4 "norm" }{TEXT -1 47 " command to get the magnitude of a ve
ctor. The " }{TEXT 269 4 "norm" }{TEXT -1 227 " command contains diffe
rent ways to measure the length of a vector. We want the Euclidean nor
m which computes the square root of the sum of squares of the componen
ts. This is done by using the number 2 in the following command." }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "magv1 := Norm(v1, 2);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&magv1G*$\"\"'#\"\"\"\"\"#" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 54 "To compute and store the unit vect
or corresponding to " }{XPPEDIT 18 0 "v[1];" "6#&%\"vG6#\"\"\"" }
{TEXT -1 25 ", we divide by its length" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 16 "nv1 := v1/magv1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>
%$nv1G-%'RTABLEG6%\"*sP!)\\\"-%'VECTORG6#7%,$*&\"\"'!\"\"F/#\"\"\"\"\"
#F0,$*&F/F0F/F1F2,$*&\"\"$F0F/F1F2&%'VectorG6#%$rowG" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 97 "The next command checks that the vector we comp
uted in the previous step is indeed a unit vector." }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 13 "Norm(nv1, 2);" }}{PARA 11 "" 1 "" {XPPMATH 
20 "6#\"\"\"" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 4 "" 
0 "" {TEXT -1 41 "Computing the dot product of two vectors." }}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 10 "Using the " }{TEXT 270 10 "DotProduct" }
{TEXT -1 63 " command, we can compute the scalar dot product of the ve
ctors " }{XPPEDIT 18 0 "v[1];" "6#&%\"vG6#\"\"\"" }{TEXT -1 5 " and " 
}{XPPEDIT 18 0 "v[2];" "6#&%\"vG6#\"\"#" }{TEXT -1 1 "." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "DotProduct(v1, v2);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#!\"\"" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 45 "This
 computes the dot product of the vectors " }{XPPEDIT 18 0 "v[1];" "6#&
%\"vG6#\"\"\"" }{TEXT -1 5 " and " }{XPPEDIT 18 0 "v[3];" "6#&%\"vG6#
\"\"$" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 19 "Do
tProduct(v1, v3);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"&" }}}{PARA 
0 "" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 43 "Comput
ing the cross product of two vectors." }}{PARA 0 "" 0 "" {TEXT -1 4 "T
he " }{TEXT 272 12 "CrossProduct" }{TEXT -1 90 " function in the next \+
command will compute the vector corresponding the the cross product " 
}{XPPEDIT 18 0 "v[1];" "6#&%\"vG6#\"\"\"" }{TEXT -1 1 " " }{TEXT 271 
1 "X" }{TEXT -1 2 "  " }{XPPEDIT 18 0 "v[2];" "6#&%\"vG6#\"\"#" }
{TEXT -1 34 ". We store this result by entering" }}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 31 "crossp := CrossProduct(v1, v2);" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%'crosspG-%'RTABLEG6%\"*WrO]\"-%'VECTORG6#7%\"
\"&\"\"$\"\"\"&%'VectorG6#%$rowG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
37 "Recall that the vector cross product " }{XPPEDIT 18 0 "v[1];" "6#&
%\"vG6#\"\"\"" }{TEXT -1 1 " " }{TEXT 273 1 "X" }{TEXT -1 2 "  " }
{XPPEDIT 18 0 "v[2]" "6#&%\"vG6#\"\"#" }{TEXT -1 51 " is perpendicular
 to the vectors use to compute it " }{XPPEDIT 18 0 "v[1];" "6#&%\"vG6#
\"\"\"" }{TEXT -1 5 " and " }{XPPEDIT 18 0 "v[2]" "6#&%\"vG6#\"\"#" }
{TEXT -1 120 ". When two vectors are orthogonal, their dot product is \+
zero. Hence, we enter the following two commands to verify that " }
{XPPEDIT 18 0 "v[1]" "6#&%\"vG6#\"\"\"" }{TEXT -1 5 " and " }{XPPEDIT 
18 0 "v[2]" "6#&%\"vG6#\"\"#" }{TEXT -1 19 " are orthogonal to " }
{XPPEDIT 18 0 "v[1]" "6#&%\"vG6#\"\"\"" }{TEXT -1 1 " " }{TEXT 274 1 "
X" }{TEXT -1 1 " " }{XPPEDIT 18 0 "v[2]" "6#&%\"vG6#\"\"#" }{TEXT -1 
2 ". " }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "DotProduct(crossp,
 v1);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 23 "DotProduct(crossp, v2);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 40 "We now se
t up the plots for the vectors " }{XPPEDIT 18 0 "v[1]" "6#&%\"vG6#\"\"
\"" }{TEXT -1 2 ", " }{XPPEDIT 18 0 "v[2]" "6#&%\"vG6#\"\"#" }{TEXT 
-1 6 ", and " }{XPPEDIT 18 0 "v[1]" "6#&%\"vG6#\"\"\"" }{TEXT -1 1 " \+
" }{TEXT 275 1 "X" }{TEXT -1 2 "  " }{XPPEDIT 18 0 "v[2]" "6#&%\"vG6#
\"\"#" }{TEXT -1 31 " on the same graph. We use the " }{TEXT 276 11 "s
pacecurve " }{TEXT -1 139 "command to set up the 3-dimensional plot. T
he following three commands set up our plots (remember to use the colo
n : after these commands)." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
76 "p1 := spacecurve(t*v1, t = 0..1, color = red, axes = normal, thick
ness = 2):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "p2 := spacecu
rve(t*v2, t = 0..1, color = blue, axes = normal, thickness = 2):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 82 "p3 := spacecurve(t*crossp, t
 = 0..1, color = green, axes = normal, thickness = 2):" }}}{EXCHG 
{PARA 0 "" 0 "" {TEXT -1 474 "In the last three commands, we plot each
 vector at the origin on the 3-D axis by multiplying each vector by th
e parameter t. This parameter varies from 0 to 1 - at 0 the vector wil
l be at its initial point and at 1 it is at the terminal point.  The c
olor parameter gives the color of the vector for recognition on the gr
aph, and we will plot using a normal 3-D axis (we will see other choic
es for this parameter later on). The thickness of the plots will be at
 2. Using the " }{TEXT 277 9 "display3d" }{TEXT -1 61 " command, we no
w graph these three vectors on the same graph." }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 24 "display3d(\{p1, p2, p3\});" }}{PARA 13 "" 1 "
" {GLPLOT3D 476 476 476 {PLOTDATA 3 "6&-%'CURVESG6%7T7%$\"\"!F)$!\"!F)
F(7%$\"+Fj\"3/#!#6$!+aEj\"3%F/F-7%$\"+aEj\"3%F/$!+3`Ej\")F/F37%$\"+\")
*[C7'F/$!+'z*[C7!#5F87%$\"+3`Ej\")F/$!+iIlK;F<F>7%$\"+k\"3/-\"F<$!+Gj
\"3/#F<FC7%$\"+(z*[C7F<$!+%fz*[CF<FH7%$\"+I9dG9F<$!+gG9dGF<FM7%$\"+jIl
K;F<$!+EhIlKF<FR7%$\"+'pMn$=F<$!+#RpMn$F<FW7%$\"+Hj\"3/#F<$!+eEj\"3%F<
Ffn7%$\"+iz*[C#F<$!+Cfz*[%F<F[o7%$\"+&fz*[CF<$!+!>fz*[F<F`o7%$\"+G71`E
F<$!+cC71`F<Feo7%$\"+hG9dGF<$!+AdG9dF<Fjo7%$\"+%\\C71$F<$!+))*[C7'F<F_
p7%$\"+FhIlKF<$!+aAhIlF<Fdp7%$\"+gxQpMF<$!+?bxQpF<Fip7%$\"+$RpMn$F<$!+
'yQpM(F<F^q7%$\"+E5bxQF<$!+_?5bxF<Fcq7%$\"+fEj\"3%F<$!+=`Ej\")F<Fhq7%$
\"+#H9dG%F<$!+%eG9d)F<F]r7%$\"+Dfz*[%F<$!+]=fz*)F<Fbr7%$\"+ev(Qp%F<$!+
;^v(Q*F<Fgr7%$\"+\">fz*[F<$!+#Q=fz*F<F\\s7%$\"+C3/-^F<$!+l\"3/-\"!\"*F
as7%$\"+dC71`F<$!+\"\\C71\"FesFgs7%$\"+!4/-^&F<$!+=3/-6FesF\\t7%$\"+Bd
G9dF<$!+Xr&G9\"FesFat7%$\"+ctO=fF<$!+rMn$=\"FesFft7%$\"+*)*[C7'F<$!+)z
*[C7FesF[u7%$\"+A1`EjF<$!+ChIl7FesF`u7%$\"+bAhIlF<$!+^C718FesFeu7%$\"+
))QpMnF<$!+y(QpM\"FesFju7%$\"+@bxQpF<$!+/^v(Q\"FesF_v7%$\"+ar&G9(F<$!+
J9dG9FesFdv7%$\"+(yQpM(F<$!+dxQp9FesFiv7%$\"+?/-^vF<$!+%3/-^\"FesF^w7%
$\"+`?5bxF<$!+6/-^:FesFcw7%$\"+'o$=fzF<$!+Pn$=f\"FesFhw7%$\"+>`Ej\")F<
$!+kIlK;FesF]x7%$\"+_pMn$)F<$!+!RpMn\"FesFbx7%$\"+&eG9d)F<$!+<dG9<FesF
gx7%$\"+=-^v()F<$!+W?5b<FesF\\y7%$\"+^=fz*)F<$!+q$=fz\"FesFay7%$\"+%[t
O=*F<$!+(pMn$=FesFfy7%$\"+<^v(Q*F<$!+B5bx=FesF[z7%$\"+]n$=f*F<$!+]tO=>
FesF`z7%$\"+$Q=fz*F<$!+xO=f>FesFez7%$\"+-+++5Fes$!+/+++?FesFjz-%'COLOU
RG6&%$RGBGF(F($\"*++++\"!\")-%*THICKNESSG6#\"\"#-F$6%7T7%F*F(F(7%$!+Fj
\"3/#F/F-F37%F0F3F>7%$!+\")*[C7'F/F8$\"+'z*[C7F<7%F5F>$\"+iIlK;F<7%$!+
k\"3/-\"F<FC$\"+Gj\"3/#F<7%$!+(z*[C7F<FH$\"+%fz*[CF<7%$!+I9dG9F<FM$\"+
gG9dGF<7%$!+jIlK;F<FR$\"+EhIlKF<7%$!+'pMn$=F<FW$\"+#RpMn$F<7%$!+Hj\"3/
#F<Ffn$\"+eEj\"3%F<7%$!+iz*[C#F<F[o$\"+Cfz*[%F<7%$!+&fz*[CF<F`o$\"+!>f
z*[F<7%$!+G71`EF<Feo$\"+cC71`F<7%$!+hG9dGF<Fjo$\"+AdG9dF<7%$!+%\\C71$F
<F_p$\"+))*[C7'F<7%$!+FhIlKF<Fdp$\"+aAhIlF<7%$!+gxQpMF<Fip$\"+?bxQpF<7
%$!+$RpMn$F<F^q$\"+'yQpM(F<7%$!+E5bxQF<Fcq$\"+_?5bxF<7%$!+fEj\"3%F<Fhq
$\"+=`Ej\")F<7%$!+#H9dG%F<F]r$\"+%eG9d)F<7%$!+Dfz*[%F<Fbr$\"+]=fz*)F<7
%$!+ev(Qp%F<Fgr$\"+;^v(Q*F<7%$!+\">fz*[F<F\\s$\"+#Q=fz*F<7%$!+C3/-^F<F
as$\"+l\"3/-\"Fes7%$!+dC71`F<Fgs$\"+\"\\C71\"Fes7%$!+!4/-^&F<F\\t$\"+=
3/-6Fes7%$!+BdG9dF<Fat$\"+Xr&G9\"Fes7%$!+ctO=fF<Fft$\"+rMn$=\"Fes7%$!+
*)*[C7'F<F[u$\"+)z*[C7Fes7%$!+A1`EjF<F`u$\"+ChIl7Fes7%$!+bAhIlF<Feu$\"
+^C718Fes7%$!+))QpMnF<Fju$\"+y(QpM\"Fes7%$!+@bxQpF<F_v$\"+/^v(Q\"Fes7%
$!+ar&G9(F<Fdv$\"+J9dG9Fes7%$!+(yQpM(F<Fiv$\"+dxQp9Fes7%$!+?/-^vF<F^w$
\"+%3/-^\"Fes7%$!+`?5bxF<Fcw$\"+6/-^:Fes7%$!+'o$=fzF<Fhw$\"+Pn$=f\"Fes
7%$!+>`Ej\")F<F]x$\"+kIlK;Fes7%$!+_pMn$)F<Fbx$\"+!RpMn\"Fes7%$!+&eG9d)
F<Fgx$\"+<dG9<Fes7%$!+=-^v()F<F\\y$\"+W?5b<Fes7%$!+^=fz*)F<Fay$\"+q$=f
z\"Fes7%$!+%[tO=*F<Ffy$\"+(pMn$=Fes7%$!+<^v(Q*F<F[z$\"+B5bx=Fes7%$!+]n
$=f*F<F`z$\"+]tO=>Fes7%$!+$Q=fz*F<Fez$\"+xO=f>Fes7%$!+-+++5FesFjz$\"+/
+++?Fes-F_[l6&Fa[lFb[lF(F(Fe[l-F$6%7T7%F(F(F(7%FCF8F-7%$F.F<Fd\\lF37%$
\"+\"\\C71$F<$\"+%pMn$=F<F87%$F4F<$\"+#fz*[CF<F>7%$\"+?3/-^F<$\"+#\\C7
1$F<FC7%$\"+&)*[C7'F<$\"+\"RpMn$F<FH7%$\"+]r&G9(F<$\"+!H9dG%F<FM7%$\"+
:`Ej\")F<$\"+*=fz*[F<FR7%$\"+![tO=*F<$\"+)3/-^&F<FW7%F`cl$\"+()*[C7'F<
Ffn7%$\"+\")*[C7\"Fes$\"+')QpMnF<F[o7%$FIFes$\"+&yQpM(F<F`o7%$\"+91`E8
Fes$\"+%o$=fzF<Feo7%$FNFes$\"+$eG9d)F<Fjo7%$\"+ZAhI:Fes$\"+#[tO=*F<F_p
7%F[hl$\"+\"Q=fz*F<Fdp7%$\"+!)QpM<Fes$\"+Gj\"3/\"FesFip7%$FXFesFjclF^q
7%$\"+8bxQ>Fes$\"+3`Ej6FesFcq7%$\"+Ij\"3/#FesFidlFhq7%$\"+Yr&G9#Fes$\"
+)G9dG\"FesF]r7%$\"+jz*[C#FesFhelFbr7%$\"+z(QpM#Fes$\"+nK;39FesFgr7%$
\"+'fz*[CFesFgflF\\s7%$\"+7/-^DFesF[_mFas7%$FfoFesFfglFgs7%$\"+X?5bFFe
s$\"+F71`;FesF\\t7%$F[pFesFehlFat7%$\"+yO=fHFes$\"+2-^v<FesFft7%$\"+&
\\C71$FesFdilF[u7%$\"+6`EjJFes$\"+(=fz*=FesF`u7%$\"+GhIlKFes$\"+wO=f>F
esFeu7%$\"+WpMnLFes$\"+m\"3/-#FesFju7%$\"+hxQpMFes$\"+cEj\"3#FesF_v7%$
\"+x&G9d$FesFb`mFdv7%$\"+%RpMn$Fes$\"+O;3/AFesFiv7%$\"+5-^vPFes$\"+EhI
lAFesF^w7%$FdqFes$\"+;1`EBFesFcw7%$\"+V=fzRFes$\"+1^v(Q#FesFhw7%$\"+gE
j\"3%FesF_amF]x7%$\"+wMn$=%Fes$\"+'3/-^#FesFbx7%$F^rFes$\"+w&G9d#FesFg
x7%$\"+4^v(Q%Fes$\"+lIlKEFesF\\y7%$FcrFes$\"+bv(Qp#FesFay7%$\"+Un$=f%F
esFgamFfy7%$\"+fv(Qp%Fes$\"+NlK;GFesF[z7%$\"+v$=fz%Fes$\"+D5bxGFesF`z7
%$\"+#>fz*[Fes$\"+:bxQHFesFez7%$\"+5+++]Fes$\"+1+++IFesFjz-F_[l6&Fa[lF
(Fb[lF(Fe[l-%*AXESSTYLEG6#%'NORMALG" 1 2 0 1 10 0 2 1 1 4 2 1.000000 
45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}}}}{SECT 1 
{PARA 258 "" 0 "" {TEXT 278 25 "Graphing Lines and Planes" }{TEXT -1 
0 "" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 80 "In this section, we discuss
 how to graph lines and planes. First, make sure the " }{TEXT 280 13 "
LinearAlgebra" }{TEXT -1 6 "  and " }{TEXT 279 6 "plots " }{TEXT -1 
36 "packages are read into your session." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 33 "with(LinearAlgebra): with(plots):" }}}{EXCHG {PARA 0 
"" 0 "" {TEXT -1 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 15 "Graphing
 a Line" }}{EXCHG {PARA 0 "" 0 "" {TEXT -1 277 "Suppose we wanted to f
ind the parametric equations of a line that is parallel to the vector \+
<5, 3, 1> through the point (4, 3, 9). To write these equations, we ha
ve precisely what we need - a point on the line and a parallel vector.
 We first store the vector in component form." }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 32 "pvect := Vector[row]([5, 3, 1]);" }}{PARA 11 "" 
1 "" {XPPMATH 20 "6#>%&pvectG-%'RTABLEG6%\"*ovi\\\"-%'VECTORG6#7%\"\"&
\"\"$\"\"\"&%'VectorG6#%$rowG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 14 "
To access the " }{TEXT 285 1 "x" }{TEXT -1 101 " coordinate of the poi
nt, we enter the name of the list with its the coordinate location in \+
brackets " }{TEXT 284 4 "[  ]" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 9 "pvect[1];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"
&" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 138 " Wnext store the coordinate
s of our point in a list. A list in Maple is an ordered sequence of nu
mbers enclosed in brackets. To store the " }{TEXT 283 4 "list" }{TEXT 
-1 10 ", we enter" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 29 "pt := \+
Vector[row]([4, 3, 9]);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#ptG-%'RT
ABLEG6%\"*[49\\\"-%'VECTORG6#7%\"\"%\"\"$\"\"*&%'VectorG6#%$rowG" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 116 "To access the y coordinate of the
 point, we enter the name of the list with its the coordinate location
 in brackets " }{TEXT 281 4 "[  ]" }{TEXT -1 1 "." }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 6 "pt[2];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"
\"$" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 60 "Recall that the parametric
 equations of a line are given by " }{XPPEDIT 18 0 "x = x[0]+at;" "6#/
%\"xG,&&F$6#\"\"!\"\"\"%#atGF)" }{TEXT -1 3 ",  " }{XPPEDIT 18 0 "y = \+
y[0]+bt;" "6#/%\"yG,&&F$6#\"\"!\"\"\"%#btGF)" }{TEXT -1 7 ", and  " }
{XPPEDIT 18 0 "z = z[0]+ct;" "6#/%\"zG,&&F$6#\"\"!\"\"\"%#ctGF)" }
{TEXT -1 9 ", where (" }{XPPEDIT 18 0 "x[0];" "6#&%\"xG6#\"\"!" }
{TEXT -1 2 ", " }{XPPEDIT 18 0 "y[0];" "6#&%\"yG6#\"\"!" }{TEXT -1 2 "
, " }{XPPEDIT 18 0 "z[0];" "6#&%\"zG6#\"\"!" }{TEXT -1 237 ") are the \+
coordinates of point on the line and <a, b, c> are the parallel vector
 components. Hence, using brackets to index the coordinates of our poi
nt and vector components, we can store the parametric equations for pr
oblem by entering" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "xp := \+
pt[1] + pvect[1]*t;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#xpG,&\"\"%\"
\"\"*&\"\"&F'%\"tGF'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "y
p := pt[2] + pvect[2]*t;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#ypG,&\"
\"$\"\"\"*&F&F'%\"tGF'F'" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 
"zp := pt[3] + pvect[3]*t;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#zpG,&
\"\"*\"\"\"%\"tGF'" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 6 "Using " }
{TEXT 282 10 "spacecurve" }{TEXT -1 410 ", we can plot our line in 3-D
 space. Notice that the orientation parameter in the previous command \+
is used to rotate the graph to see it from a different perspective. Th
e default is [45, 45], where each number is in degrees. The first numb
er rotates the x and y axis view and the second rotates the z axis vie
w. We can also click on the graph and use the mouse to rotate the grap
h to get variouis orientations." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 102 "spacecurve([xp, yp, zp], t = -5..5, color = blue, axes = norm
al, orientation=[30, 70], thickness = 2);" }}{PARA 13 "" 1 "" 
{GLPLOT3D 476 476 476 {PLOTDATA 3 "6&-%'CURVESG6$7T7%$!#@\"\"!$!#7F*$
\"\"%F*7%$!+%=fz*>!\")$!+5bxQ6F2$\"+L;3/U!\"*7%$!+n$=f*=F2$!+?5bx5F2$
\"+mK;3WF77%$!+]v(Qz\"F2$!+IlK;5F2$\"+**[C7YF77%$!+Mn$=p\"F2$!+//-^&*F
7$\"+KlK;[F77%$!+=fz*e\"F2$!+0bxQ*)F7$\"+l\"3/-&F77%$!+,^v([\"F2$!+11`
E$)F7$\"+)z*[C_F77%$!+%G9dQ\"F2$!+2dG9xF7$\"+J9dGaF77%$!+oMn$G\"F2$!+3
3/-rF7$\"+kIlKcF77%$!+_Ej\"=\"F2$!+4fz*['F7$\"+(pMn$eF77%$!+N=fz5F2$!+
55bxeF7$\"+Ij\"3/'F77%$!+&=5bx*F7$!+6hIl_F7$\"+jz*[C'F77%$!+??5b()F7$!
+771`YF7$\"+'fz*[kF77%$!+bQpMxF7$!+8j\"3/%F7$\"+H71`mF77%$!+!p&G9nF7$!
+99dGMF7$\"+iG9doF77%$!+Dv(Qp&F7$!+:lK;GF7$\"+&\\C71(F77%$!+g$pMn%F7$!
+;;3/AF7$\"+GhIlsF77%$!+&>hIl$F7$!+<n$=f\"F7$\"+hxQpuF77%$!+IIlKEF7$!+
!==fz*!#5$\"+%RpMn(F77%$!+l[C7;F7$!+!>pMn$Fgs$\"+F5bxyF77%$!+:qO=fFgs$
\"+\"zz*[CFgs$\"+gEj\"3)F77%$\"+?Yr&G%Fgs$\"+s(G9d)Fgs$\"+#H9dG)F77%$
\"+E'z*[9F7$\"+vxQp9F7$\"+Dfz*[)F77%$\"+*y(QpCF7$\"+tEj\"3#F7$\"+ev(Qp
)F77%$\"+_fz*[$F7$\"+rv(Qp#F7$\"+!>fz*))F77%$\"+;T?5XF7$\"+qC71LF7$\"+
B3/-\"*F77%$\"+zAhIbF7$\"+otO=RF7$\"+cC71$*F77%$\"+V/-^lF7$\"+mAhIXF7$
\"+*3/-^*F77%$\"+1'G9d(F7$\"+kr&G9&F7$\"+@dG9(*F77%$\"+qn$=f)F7$\"+i?5
bdF7$\"+atO=**F77%$\"+N\\C7'*F7$\"+hpMnjF7$\"+**[C75F27%$\"+5`Ej5F2$\"
+g=fzpF7$\"+iIlK5F27%$\"+EhIl6F2$\"+fn$=f(F7$\"+D71`5F27%$\"+VpMn7F2$
\"+e;3/#)F7$\"+*QpM2\"F27%$\"+gxQp8F2$\"+dlK;))F7$\"+_v(Q4\"F27%$\"+w&
G9Z\"F2$\"+c9dG%*F7$\"+:dG96F27%$\"+#RpMd\"F2$\"+O;3/5F2$\"+yQpM6F27%$
\"+4-^v;F2$\"+DhIl5F2$\"+U?5b6F27%$\"+E5bx<F2$\"+:1`E6F2$\"+0-^v6F27%$
\"+U=fz=F2$\"+0^v(=\"F2$\"+o$=f>\"F27%$\"+eEj\")>F2$\"+&fz*[7F2$\"+KlK
;7F27%$\"+vMn$3#F2$\"+&3/-J\"F2$\"+&pMnB\"F27%$\"+#H9d=#F2$\"+v&G9P\"F
2$\"+eG9d7F27%$\"+3^v(G#F2$\"+lIlK9F2$\"+A5bx7F27%$\"+Dfz*Q#F2$\"+bv(Q
\\\"F2$\"+&=fzH\"F27%$\"+Tn$=\\#F2$\"+X?5b:F2$\"+[tO=8F27%$\"+ev(Qf#F2
$\"+MlK;;F2$\"+7bxQ8F27%$\"+u$=fp#F2$\"+C5bx;F2$\"+vO=f8F27%$\"+!>fzz#
F2$\"+9bxQ<F2$\"+Q=fz8F27%$\"+2+++HF2$\"+/+++=F2$\"+,+++9F2-%'COLOURG6
&%$RGBG$F*F*Fgal$\"*++++\"F2-%*THICKNESSG6#\"\"#-%*AXESSTYLEG6#%'NORMA
LG-%+PROJECTIONG6%$\"#IF*$\"#qF*\"\"\"" 1 2 0 1 10 2 2 1 1 4 2 
1.000000 70.000000 30.000000 1 0 "Curve 1" }}}}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 16 "Graphing a Plane" }}
{PARA 0 "" 0 "" {TEXT -1 189 "Suppose we now want to find the equation
 of a plane with normal (perpendicular) vector <-1, 1, 2> through the \+
point (4, 3, 9). We store the point and can store the normal vector by
 entering" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 16 "pt := [4, 3, 9]
;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#ptG7%\"\"%\"\"$\"\"*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "nv := Vector[row]([-1,1,2]);
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#nvG-%'RTABLEG6%\"*_*e!\\\"-%'VE
CTORG6#7%!\"\"\"\"\"\"\"#&%'VectorG6#%$rowG" }}}{EXCHG {PARA 0 "" 0 "
" {TEXT -1 162 "To write the equation of this plane we have precisely \+
what we need to write the equation of any plane - a point and a normal
 vector. Recall that given a point   (" }{XPPEDIT 18 0 "x[0],y[0],z[0]
;" "6%&%\"xG6#\"\"!&%\"yG6#F&&%\"zG6#F&" }{TEXT -1 93 ") and a normal \+
vector with components <a, b, c>, the standard equation of a plane is \+
given by" }}{PARA 256 "" 0 "" {TEXT -1 1 " " }{XPPEDIT 18 0 "a(x-x[1])
+b(y-y[1])+c(z-z[1]) = 0;" "6#/,(-%\"aG6#,&%\"xG\"\"\"&F)6#F*!\"\"F*-%
\"bG6#,&%\"yGF*&F26#F*F-F*-%\"cG6#,&%\"zGF*&F96#F*F-F*\"\"!" }{TEXT 
-1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 42 "Hence, we can store our plane \+
by entering:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 71 "plane := nv
[1]*(x - pt[1]) + nv[2]*(y - pt[2]) + nv[3]*(z - pt[3]) = 0;" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%&planeG/,*%\"xG!\"\"\"#<F(%\"yG\"\"\"*&\"
\"#F+%\"zGF+F+\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 92 "We next de
sire to graph our plane. It will be necessary to solve the plane for t
he variable " }{TEXT 286 1 "z" }{TEXT -1 20 " to graph using the " }
{TEXT 287 5 "solve" }{TEXT -1 67 " command, that is to express the equ
ation of the plane in the form " }{TEXT 376 1 "z" }{TEXT -1 3 " = " }
{TEXT 377 1 "f" }{TEXT -1 2 " (" }{TEXT 378 4 "x, y" }{TEXT -1 25 "). \+
We do this by entering" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "p
lane := solve(plane, z);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&planeG,
(*&\"\"#!\"\"%\"xG\"\"\"F*#\"#<F'F**&F'F(%\"yGF*F(" }}}{EXCHG {PARA 0 
"" 0 "" {TEXT -1 26 "The next command uses the " }{TEXT 375 6 "plot3d
" }{TEXT -1 56 " command to graph the plane. Notice that the parameter
s " }{TEXT 288 1 "x" }{TEXT -1 15 " = -10..10 and " }{TEXT 289 1 "y" }
{TEXT -1 34 " = -10..10 set up the span on the " }{TEXT 290 1 "x" }
{TEXT -1 5 " and " }{TEXT 291 1 "y" }{TEXT -1 44 " axis of where the 3
-D graph will span. The " }{TEXT 379 5 "view " }{TEXT -1 33 "parameter
 tells Maple to set the " }{TEXT 381 1 "x" }{TEXT -1 32 "-axis range f
rom -15 to 15, the " }{TEXT 382 1 "y" }{TEXT -1 39 " axis to range fro
m -15 to 15, and the " }{TEXT 383 1 "z" }{TEXT -1 30 " axis to range f
rom -20 to 20." }{TEXT 380 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 
1 0 128 "plot3d(plane, x = -10..10, y = -10..10, color = red, axes = n
ormal, orientation = [30, 70], view = [-15..15, -15..15, -20..20]);" }
}{PARA 13 "" 1 "" {GLPLOT3D 476 476 476 {PLOTDATA 3 "6'-%%GRIDG6&;$!#5
\"\"!$\"#5F)F&X,%)anythingG6\"6\"[gl'!%\"!!#\\bm\":\":4021000000000000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-%&COLORG6&%$RGBG$\"*++++
\"!\")$F)F)F7-%+AXESLABELSG6%%\"xG%\"yGQ!F/-%*AXESSTYLEG6#%'NORMALG-%%
VIEWG6%;$!#:F)$\"#:F)FE;$!#?F)$\"#?F)-%+PROJECTIONG6%$\"#IF)$\"#qF)\"
\"\"" 1 2 0 1 10 0 2 1 1 4 2 1.000000 70.000000 30.000000 1 0 "Curve 1
" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{SECT 1 {PARA 4 "
" 0 "" {TEXT -1 67 "Find and Graphing the Equation of a Plane Passing \+
Through 3 points." }}{PARA 0 "" 0 "" {TEXT -1 198 "Suppose now we desi
re to do this problem: Find the equation of the plane containing the p
oints (-1, -2, 3), (5, 3, -4) and (-5, -3, -2). To solve this problem,
  first store these points using lists." }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 55 "P := [-1, -2, 3];  Q := [5, 3, -4];  R := [-5, -3, -2
];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"PG7%!\"\"!\"#\"\"$" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%\"QG7%\"\"&\"\"$!\"%" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%\"RG7%!\"&!\"$!\"#" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 231 "Note to access these lists, we must use the proper case (capit
al or small letters) in the list to access an element since Maple is c
ase sensitive. Thus, using a capital Q, we can access the first coordi
nate of the point (5, 3, -4)." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 5 "Q[1];" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#\"\"&" }}}{EXCHG {PARA 
0 "" 0 "" {TEXT -1 488 "To find the equation of a plane, we need a poi
nt and a normal vector. We already have a point - we can choose any of
 the three we are given. Thus, we need a normal vector. To find the no
rmal vector, we will find two vectors on the plane and then form their
 cross product. Since the cross product is perpendicular to the vector
s used in forming it, we will have our normal vector to the plane sinc
e the two vectors are on it. Recall that given two points Recall that \+
given two points T = (" }{XPPEDIT 18 0 "t[1],t[2],t[3];" "6%&%\"tG6#\"
\"\"&F$6#\"\"#&F$6#\"\"$" }{TEXT -1 11 ") and W = (" }{XPPEDIT 18 0 "w
[1],w[2],w[3];" "6%&%\"wG6#\"\"\"&F$6#\"\"#&F$6#\"\"$" }{TEXT -1 68 ")
, the vector with initial point T and terminal point W is given by " }
}{PARA 256 "" 0 "" {TEXT -1 6 "TW = <" }{XPPEDIT 18 0 "w[1]-t[1],w[2]-
t[2],w[3]-t[3];" "6%,&&%\"wG6#\"\"\"F'&%\"tG6#F'!\"\",&&F%6#\"\"#F'&F)
6#F/F+,&&F%6#\"\"$F'&F)6#F5F+" }{TEXT -1 1 ">" }}{PARA 0 "" 0 "" 
{TEXT -1 63 "Hence, for our points, we form the vectors PQ and PR as f
ollows" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 63 "PQ := Vector[row]
([ Q[1] - P[1], Q[2] - P[2], Q[3] - P[3] ] ); " }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#PQG-%'RTABLEG6%\"*C!f!\\\"-%'VECTORG6#7%\"\"'\"\"&!
\"(&%'VectorG6#%$rowG" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 63 "PR
 := Vector[row]([ R[1] - P[1], R[2] - P[2], R[3] - P[3] ] ); " }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#PRG-%'RTABLEG6%\"*)Q@+:-%'VECTORG6#
7%!\"%!\"\"!\"&&%'VectorG6#%$rowG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
85 "To get our normal vector, we next take the cross product of the tw
o vectors PQ and PR" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 30 "nvec
t := CrossProduct(PQ, PR);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&nvect
G-%'RTABLEG6%\"*ch6\\\"-%'VECTORG6#7%!#K\"#e\"#9&%'VectorG6#%$rowG" }}
}{EXCHG {PARA 0 "" 0 "" {TEXT -1 99 "Hence, we get our plane equation.
 Note that we use the components of our the point P for our point." }}
}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 83 "plane := nvect[1] * (x - P[
1]) + nvect[2] * (y - P[2]) + nvect[3] * (z - P[3]) = 0;" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%&planeG/,**&\"#K\"\"\"%\"xGF)!\"\"\"#UF)*&\"#e
F)%\"yGF)F)*&\"#9F)%\"zGF)F)\"\"!" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
31 "We then solve for the variable " }{TEXT 384 1 "z" }{TEXT -1 13 " b
y entering:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 25 "plane := sol
ve(plane, z);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%&planeG,(*(\"#;\"\"
\"\"\"(!\"\"%\"xGF(F(\"\"$F**(\"#HF(F)F*%\"yGF(F*" }}}{EXCHG {PARA 0 "
" 0 "" {TEXT -1 127 "The next four commands set up the plots for the t
wo vectors on the plane, the normal vector to the plane, and the plane
 itself." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 75 "p4 := spacecurv
e(t*PQ, t = 0..1,axes = framed, color = red, thickness = 2):" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 77 "p5 := spacecurve(t*PR, t = 0
..1, axes = framed, color = blue, thickness = 2):" }}}{EXCHG {PARA 0 "
> " 0 "" {MPLTEXT 1 0 81 "p6 := spacecurve(t*nvect, t = 0..1, axes = f
ramed, color = black, thickness = 2):" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 77 "p7 := plot3d( plane, x = -10..10, y = -10..10, axes =
 framed, color = green):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 39 "Note \+
that in the last commands, we set " }{TEXT 385 4 "axes" }{TEXT -1 114 
" = framed, which will give us the ability to see the graph easier wit
hout having the axes cluttering up the graph." }}}{EXCHG {PARA 0 "" 0 
"" {TEXT -1 26 "We now display the graphs." }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 28 "display3d([p4, p5, p6, p7]);" }}{PARA 13 "" 1 "" 
{GLPLOT3D 476 476 476 {PLOTDATA 3 "6(-%'CURVESG6%7T7%$\"\"!F)F($!\"!F)
7%$\"+'z*[C7!#5$\"+k\"3/-\"F/$!+H9dG9F/7%$\"+#fz*[CF/$\"+Fj\"3/#F/$!+e
G9dGF/7%$\"+*QpMn$F/$\"+\"\\C71$F/$!+(G9dG%F/7%$\"+&=fz*[F/$\"+aEj\"3%
F/$!+;dG9dF/7%$\"+%)*[C7'F/$\"+?3/-^F/$!+[r&G9(F/7%$\"+#yQpM(F/$\"+&)*
[C7'F/$!+z&G9d)F/7%$\"+!eG9d)F/$\"+]r&G9(F/$!+,+++5!\"*7%$\"+y$=fz*F/$
\"+:`Ej\")F/$!+Wr&G9\"Fhn7%$\"+=3/-6Fhn$\"+![tO=*F/$!+(G9dG\"Fhn7%$\"+
(z*[C7Fhn$\"+l\"3/-\"Fhn$!+I9dG9Fhn7%$\"+x(QpM\"Fhn$\"+\")*[C7\"Fhn$!+
t&G9d\"Fhn7%$\"+dxQp9FhnFho$!+<dG9<Fhn7%$\"+Pn$=f\"Fhn$\"+91`E8Fhn$!+g
G9d=Fhn7%$\"+<dG9<Fhn$\"+I9dG9Fhn$!+.+++?Fhn7%$\"+'pMn$=Fhn$\"+ZAhI:Fh
n$!+Yr&G9#Fhn7%$\"+wO=f>Fhn$\"+kIlK;Fhn$!+*G9dG#Fhn7%$\"+cEj\"3#Fhn$\"
+!)QpM<Fhn$!+K9dGCFhn7%$\"+O;3/AFhnFiq$!+v&G9d#Fhn7%$\"+;1`EBFhn$\"+8b
xQ>Fhn$!+=dG9FFhn7%$\"+&fz*[CFhn$\"+Ij\"3/#Fhn$!+hG9dGFhn7%$\"+v&G9d#F
hn$\"+Yr&G9#Fhn$!+/+++IFhn7%$\"+bv(Qp#Fhn$\"+jz*[C#Fhn$!+[r&G9$Fhn7%$
\"+NlK;GFhn$\"+z(QpM#Fhn$!+\"H9dG$Fhn7%$\"+:bxQHFhn$\"+'fz*[CFhn$!+M9d
GMFhn7%$\"+%\\C71$Fhn$\"+7/-^DFhn$!+x&G9d$Fhn7%$\"+uMn$=$Fhn$\"+G71`EF
hn$!+?dG9PFhn7%$\"+aC71LFhn$\"+X?5bFFhn$!+jG9dQFhn7%$\"+M9dGMFhn$\"+hG
9dGFhn$!+1+++SFhn7%$\"+9/-^NFhn$\"+yO=fHFhn$!+\\r&G9%Fhn7%$\"+$RpMn$Fh
n$\"+&\\C71$Fhn$!+#H9dG%Fhn7%$\"+t$=fz$Fhn$\"+6`EjJFhn$!+N9dGWFhn7%$\"
+`tO=RFhn$\"+GhIlKFhn$!+y&G9d%Fhn7%$\"+Lj\"3/%Fhn$\"+WpMnLFhn$!+AdG9ZF
hn7%$\"+8`EjTFhn$\"+hxQpMFhn$!+lG9d[Fhn7%$\"+#H9dG%Fhn$\"+x&G9d$Fhn$!+
3+++]Fhn7%$\"+sK;3WFhn$\"+%RpMn$Fhn$!+^r&G9&Fhn7%$\"+_AhIXFhn$\"+5-^vP
Fhn$!+%H9dG&Fhn7%$\"+K71`YFhn$\"+E5bxQFhn$!+P9dGaFhn7%$\"+7-^vZFhn$\"+
V=fzRFhn$!+!eG9d&Fhn7%$\"+\">fz*[Fhn$\"+gEj\"3%Fhn$!+BdG9dFhn7%$\"+r\"
3/-&Fhn$\"+wMn$=%Fhn$!+mG9deFhn7%$\"+^r&G9&FhnFcz$!+5+++gFhn7%$\"+JhIl
_Fhn$\"+4^v(Q%Fhn$!+`r&G9'Fhn7%$\"+6^v(Q&Fhn$\"+Dfz*[%Fhn$!+'H9dG'Fhn7
%$\"+!4/-^&Fhn$\"+Un$=f%Fhn$!+R9dGkFhn7%$\"+qIlKcFhn$\"+fv(Qp%Fhn$!+#e
G9d'Fhn7%$\"+]?5bdFhn$\"+v$=fz%Fhn$!+DdG9nFhn7%$\"+I5bxeFhn$\"+#>fz*[F
hn$!+oG9doFhn7%$\"+7+++gFhn$\"+5+++]Fhn$!+9+++qFhn-%'COLOURG6&%$RGBG$
\"*++++\"!\")F(F(-%*THICKNESSG6#\"\"#-F$6%7T7%F*F*F*7%$!+3`Ej\")!#6$!+
Fj\"3/#F[bl$!+k\"3/-\"F/7%$!+iIlK;F/$!+aEj\"3%F[bl$F]blF/7%$!+#fz*[CF/
$!+\")*[C7'F[bl$!+\"\\C71$F/7%$!+BhIlKF/Fial$FdblF/7%$!+cEj\"3%F/F^bl$
!+?3/-^F/7%$!+)=fz*[F/$!+(z*[C7F/$!+&)*[C7'F/7%$!+?dG9dF/$F]pF/$!+]r&G
9(F/7%$!+_AhIlF/$!+jIlK;F/$!+:`Ej\")F/7%$!+%yQpM(F/$!+'pMn$=F/$!+![tO=
*F/7%$!+;`Ej\")F/$!+Hj\"3/#F/$!+l\"3/-\"Fhn7%$!+[=fz*)F/$!+iz*[C#F/$!+
\")*[C7\"Fhn7%$!+!Q=fz*F/$!+&fz*[CF/$FjclFhn7%$!+\"\\C71\"Fhn$!+G71`EF
/$!+91`E8Fhn7%F^o$F_tF/F\\p7%$!+)z*[C7Fhn$!+%\\C71$F/$!+ZAhI:Fhn7%$!+^
C718Fhn$!+FhIlKF/$!+kIlK;Fhn7%$!+/^v(Q\"Fhn$!+gxQpMF/$!+!)QpM<Fhn7%$!+
dxQp9Fhn$!+$RpMn$F/$F^elFhn7%$!+5/-^:Fhn$!+E5bxQF/$!+8bxQ>Fhn7%Fjgl$!+
fEj\"3%F/$!+Ij\"3/#Fhn7%Fhp$FexF/F]r7%$!+q$=fz\"Fhn$!+Dfz*[%F/$!+jz*[C
#Fhn7%$!+B5bx=Fhn$!+ev(Qp%F/$!+z(QpM#Fhn7%$!+wO=f>Fhn$!+\">fz*[F/$!+'f
z*[CFhn7%Fcil$!+C3/-^F/$!+7/-^DFhn7%$!+$)*[C7#Fhn$!+dC71`F/$FiflFhn7%$
!+O;3/AFhn$!+!4/-^&F/$!+X?5bFFhn7%Fdr$F[]lF/F^t7%$!+UpMnBFhn$!+ctO=fF/
$!+yO=fHFhn7%Fjjl$!+*)*[C7'F/$!+&\\C71$Fhn7%$!+\\AhIDFhn$!+A1`EjF/$!+6
`EjJFhn7%$!+-\\C7EFhn$!+bAhIlF/$!+GhIlKFhn7%$!+bv(Qp#Fhn$!+))QpMnF/$!+
WpMnLFhn7%$!+3-^vFFhn$!+@bxQpF/$!+hxQpMFhn7%$!+iG9dGFhn$!+ar&G9(F/Fav7
%$!+:bxQHFhn$!+(yQpM(F/$!+%RpMn$Fhn7%$!+o\"3/-$Fhn$!+?/-^vF/$!+5-^vPFh
n7%$!+@3/-JFhn$!+`?5bxF/$F]ilFhn7%$!+uMn$=$Fhn$!+'o$=fzF/$!+V=fzRFhn7%
Fh]m$!+>`Ej\")F/$!+gEj\"3%Fhn7%$!+\"yQpM$Fhn$!+_pMn$)F/$!+wMn$=%Fhn7%F
ju$!+&eG9d)F/Fdx7%$!+(3/-^$Fhn$!+=-^v()F/$!+4^v(Q%Fhn7%$!+Sn$=f$Fhn$!+
^=fz*)F/$F[jlFhn7%Fb_m$!+%[tO=*F/$!+Un$=f%Fhn7%$!+Z?5bPFhn$!+<^v(Q*F/$
!+fv(Qp%Fhn7%$!++ZtOQFhn$!+]n$=f*F/$!+v$=fz%Fhn7%$!+`tO=RFhn$!+$Q=fz*F
/$!+#>fz*[Fhn7%$!+3+++SFhn$!+-+++5Fhn$!+5+++]Fhn-Fj`l6&F\\alF(F(F]alF`
al-F$6%7T7%F*F(F(7%$!+YAhIlF/$\"+qMn$=\"Fhn$\"+eG9dGF/7%$!+\\C718Fhn$
\"+RpMnBFhn$\"+;dG9dF/7%$!+uO=f>Fhn$\"+4/-^NFhn$\"+t&G9d)F/7%$!+**[C7E
Fhn$\"+zQpMZFhn$\"+Vr&G9\"Fhn7%$!+DhIlKFhn$\"+^tO=fFhnFdq7%$!+]tO=RFhn
$\"+B3/-rFhn$\"+;dG9<Fhn7%$!+w&G9d%Fhn$\"+%H9dG)Fhn$\"+-+++?Fhn7%$!+-)
*[C_Fhn$\"+lxQp%*Fhn$\"+)G9dG#Fhn7%$!+F5bxeFhn$\"+ChIl5F_al$\"+u&G9d#F
hn7%$!+`AhIlFhn$\"+rMn$=\"F_alFdw7%$!+yMn$=(Fhn$\"+=3/-8F_al$\"+Zr&G9$
Fhn7%$!+/ZtOyFhn$\"+l\"3/U\"F_al$\"+L9dGMFhn7%$!+Ifz*[)Fhn$\"+7bxQ:F_a
l$\"+>dG9PFhn7%$!+br&G9*Fhn$\"+fG9d;F_al$\"+0+++SFhn7%$!+\"Q=fz*Fhn$\"
+2-^v<F_alFcz7%$!+hz*[/\"F_al$\"+av(Q*=F_al$\"+y&G9d%Fhn7%$!+$3/-6\"F_
al$\"+,\\C7?F_al$\"+kG9d[Fhn7%$!+1-^v6F_al$\"+[AhI@F_al$\"+]r&G9&Fhn7%
$!+Gj\"3C\"F_al$\"+&fz*[AF_al$\"+O9dGaFhn7%$FgglF_al$\"+UpMnBF_al$\"+B
dG9dFhn7%$!+t&G9P\"F_al$\"+*G9d[#F_al$\"+4+++gFhn7%$!+'pMnV\"F_al$\"+P
;3/EF_al$\"+&H9dG'Fhn7%$!+>3/-:F_al$\"+%)*[Cs#F_al$\"+\"eG9d'Fhn7%$!+T
pMn:F_al$\"+Jj\"3%GF_al$\"+nG9doFhn7%$F[hlF_al$F\\xF_al$\"+ar&G9(Fhn7%
$!+'=fzp\"F_al$\"+D5bxIF_al$\"+S9dGuFhn7%$!+4`Ej<F_al$\"+s$=f>$F_al$\"
+EdG9xFhn7%$!+J9dG=F_al$\"+>dG9LF_al$\"+7+++!)Fhn7%$!+av(Q*=F_al$\"+mI
lKMF_al$\"+)H9dG)Fhn7%$FgjlF_al$FjwF_al$\"+&eG9d)Fhn7%$!+*z*[C?F_al$\"
+hxQpOF_al$\"+rG9d))Fhn7%$!+Afz*3#F_al$\"+3^v(y$F_al$\"+dr&G9*Fhn7%$!+
W?5b@F_al$\"+bC71RF_al$\"+V9dG%*Fhn7%$!+n\"3/A#F_al$\"+-)*[CSF_al$\"+H
dG9(*Fhn7%$FerF_al$\"+\\r&G9%F_al$\"+-+++5F_al7%$!+7/-^BF_al$\"+'\\C7E
%F_al$\"+I9dG5F_al7%$!+MlK;CF_al$\"+W=fzVF_al$\"+fG9d5F_al7%$!+dEj\"[#
F_al$\"+\">fz\\%F_al$\"+(G9d3\"F_al7%$!+!yQpa#F_al$\"+QlK;YF_al$\"+;dG
96F_al7%$Fe]mF_al$\"+&)QpMZF_al$\"+Xr&G9\"F_al7%$!+D5bxEF_al$\"+K71`[F
_al$\"+t&G9<\"F_al7%$!+Zr&Gu#F_al$\"+z&G9(\\F_al$\"+-+++7F_al7%$!+qK;3
GF_al$\"+Efz*3&F_al$\"+J9dG7F_al7%$!+#RpM(GF_al$\"+uK;3_F_al$\"+fG9d7F
_al7%$F__mF_al$\"+@1`E`F_al$\"+)G9dG\"F_al7%$!+P;3/IF_al$\"+oz*[W&F_al
$\"+;dG98F_al7%$!+gxQpIF_al$\"+:`EjbF_al$\"+Xr&GM\"F_al7%$!+$)QpMJF_al
$\"+iEj\"o&F_al$\"+u&G9P\"F_al7%$!+1+++KF_al$\"+7+++eF_al$\"+.+++9F_al
-Fj`l6&F\\alF)F)F)F`al-%%GRIDG6&;$F/F)$\"#5F)FiinX,%)anythingG6\"6\"[g
l'!%\"!!#\\bm\":\":402F24924924924C40283CF3CF3CF3D04021555555555558401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-%&COLORG6&F\\alF(F]alF(-%+AXESLABELSG6%%\"xG%\"yGQ!F`jn-%*AX
ESSTYLEG6#%&FRAMEG" 1 2 0 1 10 0 2 1 1 3 2 1.000000 45.000000 
45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" "Curve 4" }}}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}}{PARA 0 "" 0 "" {TEXT -1 0 "" 
}}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 64 "Graphing and finding the line \+
of intersection between two planes" }}{PARA 0 "" 0 "" {TEXT -1 73 "In \+
this section, we find the line of intersection between the two planes \+
" }{TEXT 292 15 "x - 3y + 6z = 4" }{TEXT -1 5 " and " }{TEXT 293 15 "x
 - 4y + 2z = 3" }{TEXT -1 40 " and graph the results. We will use the \+
" }{TEXT 296 13 "LinearAlgebra" }{TEXT -1 5 " and " }{TEXT 294 5 "plot
s" }{TEXT -1 54 " packages throughout this session, which we now enter
:" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "with(LinearAlgebra): wi
th(plots):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 127 "The next two comma
nds assigns and stores the equations for the two planes. Make sure you
 distinguish between the \"colon equal\" " }{TEXT 295 3 ":= " }{TEXT 
-1 10 "and equal " }{TEXT 297 2 "= " }{TEXT -1 24 "signs in these comm
ands." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "plane1 := x - 3*y \+
+ 6*z = 4;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'plane1G/,(%\"xG\"\"\"
*&\"\"$F(%\"yGF(!\"\"*&\"\"'F(%\"zGF(F(\"\"%" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 28 "plane2 := x - 4*y + 2*z = 3;" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%'plane2G/,(%\"xG\"\"\"*&\"\"%F(%\"yGF(!\"\"*&\"\"#F
(%\"zGF(F(\"\"$" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 22 "The following \+
command " }{TEXT 298 5 "solve" }{TEXT -1 149 " will find the solution \+
of the system the two equations given in terms of the one of the varia
bles which represent where the two equations intersect." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 32 "sols := solve(\{plane1, plane2\});
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%solsG<%/%\"yG,&\"\"\"F)*&\"\"%F
)%\"zGF)!\"\"/%\"xG,&\"\"(F)*&\"#=F)F,F)F-/F,F," }}}{EXCHG {PARA 0 "" 
0 "" {TEXT -1 89 "You should notice that for the solution of the previ
ous command Maple chose the variable " }{TEXT 299 2 "z " }{TEXT -1 13 
"indicated by " }{TEXT 300 5 "z = z" }{TEXT -1 76 " as its independent
 variable. For other planes, this may chosen differently." }}{PARA 0 "
" 0 "" {TEXT -1 0 "" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 139 "Recall th
at the intersection of two planes is a line. We would like to express \+
the equation of the line in its parametric form in terms of " }{TEXT 
301 1 "t" }{TEXT -1 12 ". Using the " }{TEXT 302 4 "subs" }{TEXT -1 
185 " command, we can find these equations for the solution obtained f
rom the previous command. The following three commands find and store \+
the parametric equations in terms of the variable " }{TEXT 303 1 "t" }
{TEXT -1 39 ". Note we set the independent variable " }{TEXT 304 1 "z
" }{TEXT -1 10 " equal to " }{TEXT 307 1 "t" }{TEXT -1 38 " in these c
ommmands. If, for example, " }{TEXT 305 1 "y" }{TEXT -1 43 " is the in
dependent variable, we would set " }{TEXT 306 5 "y = t" }{TEXT -1 23 "
 in all three commands." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "
xp := subs(sols, z = t , x);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%#xpG
,&\"\"(\"\"\"*&\"#=F'%\"tGF'!\"\"" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 28 "yp := subs(sols, z = t,  y);" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%#ypG,&\"\"\"F&*&\"\"%F&%\"tGF&!\"\"" }}}{EXCHG {PARA 
0 "> " 0 "" {MPLTEXT 1 0 28 "zp := subs(sols, z = t,  z);" }}{PARA 11 
"" 1 "" {XPPMATH 20 "6#>%#zpG%\"tG" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 203 "We now want to graph the two planes and their line of intersec
tion. To make it easier to get the graph, we need to store the equatio
ns of the plane in another form. We will solve each plane equation for
 " }{TEXT 308 1 "z" }{TEXT -1 33 " and store the result. Using the " }
{TEXT 309 5 "solve" }{TEXT -1 46 " command, we solve the two planes in
 terms of " }{TEXT 310 1 "z" }{TEXT -1 13 " by entering:" }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 27 "plane1 := solve(plane1, z);" }}
{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'plane1G,(*&\"\"'!\"\"%\"xG\"\"\"F(*
&\"\"#F(%\"yGF*F*#F,\"\"$F*" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
27 "plane2 := solve(plane2, z);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%'
plane2G,(*&\"\"#!\"\"%\"xG\"\"\"F(*&F'F*%\"yGF*F*#\"\"$F'F*" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 4 "The " }{TEXT 311 1 "z" }{TEXT -1 
192 " parameter in the previous commands indicates which variable we w
ant to solve the plane equations for. We now set up our plots. The fol
lowing commands set up the plots for our two planes. The " }{TEXT 312 
6 "plot3d" }{TEXT -1 532 " command is designed for doing three dimensi
onal plots. In this\ncommand, we first specify ranges for the values o
f x and y. The \"axes\" parameter indicates the type of 3-dimensional \+
axes to use on the graph (there are 4 to choose from) and the \"labels
\" parameter labels the coordinate axes (use the forward quotes ' ' in
 this command and remember to use a colon : after this command to avoi
d generating a large amount of data points). If your input runs over t
o the next line, just continue entering the command until it is comple
te." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 100 "plot1 := plot3d(pla
ne1, x = -5..5, y = -5..5, color = red, axes = framed, labels = ['x', \+
'y', 'z']):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 102 "plot2 := pl
ot3d(plane2, x = -5..5, y = -5..5, color = green, axes = framed, label
s = ['x', 'y', 'z']):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 124 "The nex
t command sets up the plot for our line of intersection. Notice that e
ach parametric equation is entered in brackets " }{TEXT 313 4 "[  ]" }
{TEXT -1 38 " seperated be commas and the range of " }{TEXT 314 1 "t" 
}{TEXT -1 32 " is given in the next parameter." }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 120 "plot3 := spacecurve([xp, yp, zp], t = -0.2..0
.9, color = black, axes = framed, labels = ['x', 'y', 'z'], thickness \+
= 3):" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 6 "Using " }{TEXT 315 9 "dis
play3d" }{TEXT -1 59 ", we graph the the two planes and the line of in
tersection." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 33 "display3d(\{
plot1, plot2, plot3\});" }}{PARA 13 "" 1 "" {GLPLOT3D 486 486 486 
{PLOTDATA 3 "6'-%'CURVESG6%7T7%$\"++++g5!\")$\"+++++=!\"*$!+++++?!#57%
$\"+P=f>5F*$\"+#3/-r\"F-$!+/-^v<F07%$\"+Mn$=z*F-$\"+j\"3/i\"F-$!+3/-^:
F07%$\"+-^v(Q*F-$\"+XAhI:F-$!+71`E8F07%$\"+pMn$)*)F-$\"+Ej\"3W\"F-$!+;
3/-6F07%$\"+O=fz&)F-$\"+3/-^8F-$!+,-^v()!#67%$\"+/-^v\")F-$\"+!\\C7E\"
F-$!+UAhIlFT7%$\"+r&G9x(F-$\"+r&G9<\"F-$!+$G9dG%FT7%$\"+QpMntF-$\"+`Ej
\"3\"F-$!+Cj\"3/#FT7%$\"+1`EjpF-$\"+YtO=**F0$\"+]j\"3/#!#77%$\"+tO=flF
-$\"+i\"3/-*F0$\"+%fz*[CFT7%$\"+S?5bhF-$\"+z*[C7)F0$\"+`v(Qp%FT7%$\"+3
/-^dF-$\"+&z*[CsF0$\"+7bxQpFT7%$\"+v(QpM&F-$\"+71`EjF0$\"+rMn$=*FT7%$
\"+Vr&G%\\F-$\"+G9dGaF0$\"+Vr&G9\"F07%$\"+5bxQXF-$\"+WAhIXF0$\"+RpMn8F
07%$\"+xQpMTF-$\"+gIlKOF0$\"+Nn$=f\"F07%$\"+WAhIPF-$\"+wQpMFF0$\"+JlK;
=F07%$\"+61`ELF-$\"+#pMn$=F0$\"+Fj\"3/#F07%$\"+z*[C#HF-$\"+!3bxQ*FT$\"
+BhIlAF07%$\"+YtO=DF-$\"++Cj\"3%F[p$\"+>fz*[#F07%$\"+8dG9@F-$!++'G9d)F
T$\"+:dG9FF07%$\"+!3/-r\"F-$!+W?5b<F0$\"+6bxQHF07%$\"+ZC718F-$!+G71`EF
0$\"+2`EjJF07%$\"+Y\"3/-*F0$!+7/-^NF0$\"+.^v(Q$F07%$\"+==fz\\F0$!+'fz*
[WF0$\"+**[C7OF07%$\"++\\v(Q*FT$!+!yQpM&F0$\"+&pMn$QF07%$!+Q3/-JF0$!+k
z*[C'F0$\"+\"\\C71%F07%$!+mr&G9(F0$!+[r&G9(F0$\"+(G9dG%F07%$!+\\tO=6F-
$!+Kj\"3/)F0$\"+$3/-^%F07%$!+#)*[C_\"F-$!+;bxQ*)F0$\"+zQpMZF07%$!+:1`E
>F-$!++ZtO)*F0$\"+vO=f\\F07%$!+[AhIBF-$!+)QpM2\"F-$\"+rMn$=&F07%$!+\")
QpMFF-$!+2`Ej6F-$\"+nK;3aF07%$!+8bxQJF-$!+D71`7F-$\"+jIlKcF07%$!+Yr&Ga
$F-$!+Wr&GM\"F-$\"+fG9deF07%$!+z(Qp%RF-$!+iIlK9F-$\"+bEj\"3'F07%$!+7/-
^VF-$!+!)*[C_\"F-$\"+^C71jF07%$!+X?5bZF-$!+**[C7;F-$\"+ZAhIlF07%$!+xO=
f^F-$!+<3/-<F-$\"+V?5bnF07%$!+5`EjbF-$!+On$=z\"F-$\"+R=fzpF07%$!+VpMnf
F-$!+aEj\")=F-$\"+N;3/sF07%$!+w&G9P'F-$!+s&G9(>F-$\"+J9dGuF07%$!+4-^vn
F-$!+\"\\C71#F-$\"+F71`wF07%$!+T=fzrF-$!+4/-^@F-$\"+B5bxyF07%$!+uMn$e(
F-$!+Gj\"3C#F-$\"+>3/-\")F07%$!+2^v()zF-$!+YAhIBF-$\"+:1`E$)F07%$!+Sn$
=R)F-$!+k\"3/U#F-$\"+6/-^&)F07%$!+t$=fz)F-$!+$3/-^#F-$\"+2-^v()F07%$!+
0+++#*F-$!+,+++EF-$\"+.+++!*F0-%'COLOURG6&%$RGBG\"\"!FhalFhal-%*THICKN
ESSG6#\"\"$-%%GRIDG6&;$!\"&Fhal$\"\"&FhalF`blX,%)anythingG6\"6\"[gl'!%
\"!!#\\bm\":\":BFF0000000000000BFE9555555555555BFE2AAAAAAAAAAA9BFD7FFF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-%&COLORG6&Fgal$\"*++++\"F*$FhalFhalF^cl-F^bl6&F`blF`blX,FfblFgbl
Fhbl[gl'!%\"!!#\\bm\":\":C018000000000000C014AAAAAAAAAAAAC011555555555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-Fjbl6&FgalF^clF\\clF^cl-%+AXESLABELSG6&%\"xG%\"yG%\"zG
-%%FONTG6#%(DEFAULTG-%*AXESSTYLEG6#%&FRAMEG" 1 2 0 1 10 0 2 1 1 3 2 
1.000000 45.000000 45.000000 0 0 "Curve 1" "Curve 2" "Curve 3" }}}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" {TEXT 
-1 0 "" }}}{SECT 1 {PARA 258 "" 0 "" {TEXT 316 25 "Graphing Quadric Su
rfaces" }{TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 120 "Maple does a fa
irly good job graphing quadric surfaces.Quadric surfaces can be graphe
d in their implicit form using the " }{TEXT 318 14 "implicitplot3d" }
{TEXT -1 33 " command. This command is in the " }{TEXT 317 6 "plots " 
}{TEXT -1 58 "package, which we now make sure is read into our session
. " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots):" }}}
{EXCHG {PARA 0 "" 0 "" {TEXT -1 51 "Suppose we enter and store the fol
lowing ellipsoid:" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "eq1 :=
 x^2/9 + y^2/16 + z^2/16 = 1;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq
1G/,(*&\"\"*!\"\"%\"xG\"\"#\"\"\"*&\"#;F)%\"yGF+F,*&F.F)%\"zGF+F,F," }
}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 133 "The following command graphs th
e ellipsoid (notice you have to specify ranges for all three variables
 - x, y, and z) in this command." }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 68 "implicitplot3d(eq1, x = -6..6, y = -6..6, z = -6..6, \+
axes = framed);" }}{PARA 13 "" 1 "" {GLPLOT3D 400 300 300 {PLOTDATA 3 
"6%-%+ISOSURFACEG6#X0%)anythingG6\"6\"[gl'!%\"!!%[ez\"+\"+\"+\"%C01800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-%+AXESLABELSG6%Q\"xF)Q\"yF)Q\"zF)-%*AXESSTYLEG6#%&FRAME
G" 1 2 0 1 10 0 2 1 1 3 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }
}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 77 "The next two commands set up an
d give a plot of a hyperboloid with one sheet." }}}{EXCHG {PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 35 "eq2 := 4*x^2 + 4*y^2 - 16*z^2 = 16;" }}{PARA 
11 "" 1 "" {XPPMATH 20 "6#>%$eq2G/,(*&\"\"%\"\"\")%\"xG\"\"#F)F)*&F(F)
)%\"yGF,F)F)*&\"#;F))%\"zGF,F)!\"\"F1" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 68 "implicitplot3d(eq2, x = -6..6, y = -6..6, z = -6..6, \+
axes = framed);" }}{PARA 13 "" 1 "" {GLPLOT3D 400 300 300 {PLOTDATA 3 
"6%-%+ISOSURFACEG6#X0%)anythingG6\"6\"[gl'!%\"!!%[ez\"+\"+\"+\"%C01800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-%+AXESLABELSG6%Q\"xF)Q\"yF)Q\"zF)-%*AXESSTYLEG6#%&FRAME
G" 1 2 0 1 10 0 2 1 1 3 2 1.000000 45.000000 45.000000 0 0 "Curve 1" }
}}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 51 "We can also store and graph the
 following cylinder." }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "eq3
 := z^2 + y^2 = 16;" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$eq3G/,&*$)%
\"zG\"\"#\"\"\"F+*$)%\"yGF*F+F+\"#;" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 69 "implicitplot3d(eq3, x = -6..6,  y = -6..6, z = -6..6,
 axes = normal);" }}{PARA 13 "" 1 "" {GLPLOT3D 486 486 486 {PLOTDATA 
3 "6%-%+ISOSURFACEG6#X0%)anythingG6\"6\"[gl'!%\"!!%[ez\"+\"+\"+\"%C018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-%+AXESLABELSG6%Q\"xF)Q\"yF)Q\"zF)-%*AXESSTYLEG6#%'NOR
MALG" 1 2 0 1 10 0 2 1 1 4 2 1.000000 45.000000 45.000000 0 0 "Curve 1
" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}}{PARA 0 "" 0 "" 
{TEXT -1 0 "" }}}{SECT 1 {PARA 3 "" 0 "" {TEXT -1 9 "Exercises" }}
{PARA 0 "" 0 "" {TEXT -1 21 "1. Given the vectors " }{XPPEDIT 18 0 "v[
1];" "6#&%\"vG6#\"\"\"" }{TEXT -1 1 " " }{TEXT 322 2 "= " }{TEXT 328 
1 "3" }{TEXT 329 2 "i " }{TEXT 330 2 "- " }{TEXT 347 1 "2" }{TEXT 331 
1 "j" }{TEXT 332 2 " +" }{TEXT 333 1 "k" }{TEXT -1 2 ", " }{XPPEDIT 
18 0 "v[2];" "6#&%\"vG6#\"\"#" }{TEXT -1 1 " " }{TEXT 323 3 "= -" }
{TEXT 334 1 "i" }{TEXT 335 4 " + 3" }{TEXT 336 1 "j" }{TEXT 337 3 " + \+
" }{TEXT 346 1 "4" }{TEXT 338 1 "k" }{TEXT -1 6 ", and " }{XPPEDIT 18 
0 "v[3];" "6#&%\"vG6#\"\"$" }{TEXT -1 3 " = " }{TEXT 324 1 "7" }{TEXT 
339 1 "i" }{TEXT 340 3 " - " }{TEXT 344 1 "2" }{TEXT 341 1 "j" }{TEXT 
342 3 " + " }{TEXT 345 1 "3" }{TEXT 343 1 "k" }{TEXT -1 30 ", find the
 following:\n    (a) " }{XPPEDIT 18 0 "5*v[1]-7*v[2]+8*v[3];" "6#,(*&
\"\"&\"\"\"&%\"vG6#F&F&F&*&\"\"(F&&F(6#\"\"#F&!\"\"*&\"\")F&&F(6#\"\"$
F&F&" }{TEXT -1 47 ".\n    (b)  Find the dot product of the vectors " 
}{XPPEDIT 18 0 "v[1];" "6#&%\"vG6#\"\"\"" }{TEXT -1 6 " with " }
{XPPEDIT 18 0 "v[2];" "6#&%\"vG6#\"\"#" }{TEXT -1 5 " and " }{XPPEDIT 
18 0 "v[1]" "6#&%\"vG6#\"\"\"" }{TEXT -1 6 " with " }{XPPEDIT 18 0 "v[
3];" "6#&%\"vG6#\"\"$" }{TEXT -1 43 ".\n    (c) The unit vector corres
ponding to " }{XPPEDIT 18 0 "v[1];" "6#&%\"vG6#\"\"\"" }{TEXT -1 33 ".
\n    (d) Find the cross product " }{XPPEDIT 18 0 "v[1];" "6#&%\"vG6#
\"\"\"" }{TEXT -1 1 " " }{TEXT 325 2 "X " }{TEXT -1 1 " " }{XPPEDIT 
18 0 "v[2]" "6#&%\"vG6#\"\"#" }{TEXT -1 38 "  and verify it is orthogo
nal to both " }{XPPEDIT 18 0 "v[1];" "6#&%\"vG6#\"\"\"" }{TEXT -1 5 " \+
and " }{XPPEDIT 18 0 "v[2];" "6#&%\"vG6#\"\"#" }{TEXT -1 9 ".  Graph \+
" }{XPPEDIT 18 0 "v[1];" "6#&%\"vG6#\"\"\"" }{TEXT -1 3 ",  " }
{XPPEDIT 18 0 "v[2];" "6#&%\"vG6#\"\"#" }{TEXT -1 6 ", and " }
{XPPEDIT 18 0 "v[1];" "6#&%\"vG6#\"\"\"" }{TEXT -1 1 " " }{TEXT 374 2 
"X " }{TEXT -1 1 " " }{XPPEDIT 18 0 "v[2]" "6#&%\"vG6#\"\"#" }{TEXT 
-1 19 " on the same graph." }}{PARA 0 "" 0 "" {TEXT -1 66 "2. Find and
 graph the equation of the line parallel to the vector " }{TEXT 326 4 
"v = " }{TEXT 361 1 "4" }{TEXT 362 2 "i " }{TEXT 371 2 "- " }{TEXT 
372 1 "2" }{TEXT 369 1 "j" }{TEXT 370 3 " + " }{TEXT 367 1 "k" }{TEXT 
368 1 " " }{TEXT -1 20 "which passes through" }}{PARA 0 "" 0 "" {TEXT 
-1 25 "    the point (5, 1, -2)." }}{PARA 0 "" 0 "" {TEXT -1 65 "3. Fi
nd and graph the equation of the plane normal to the vector " }{TEXT 
327 4 "v = " }{TEXT 359 1 "4" }{TEXT 360 1 "i" }{TEXT 363 3 " - " }
{TEXT 373 1 "2" }{TEXT 364 1 "j" }{TEXT 365 3 " + " }{TEXT 366 1 "k" }
{TEXT -1 21 " which passes through" }}{PARA 0 "" 0 "" {TEXT -1 25 "   \+
 the point (5, 1, -2)." }}{PARA 0 "" 0 "" {TEXT -1 102 "4. Find and gr
aph the equation of the plane which passes through the points (-1,1,5)
, (-4, 0, 5), and " }}{PARA 0 "" 0 "" {TEXT -1 15 "    (3, -1, 5)." }}
{PARA 0 "" 0 "" {TEXT -1 56 "5. Find the line of intersection between \+
the two planes " }{TEXT 319 1 "3" }{TEXT 348 4 "x - " }{TEXT 349 1 "3
" }{TEXT 350 8 "y + z = " }{TEXT 351 1 "3" }{TEXT -1 5 " and " }{TEXT 
353 4 "x - " }{TEXT 354 1 "4" }{TEXT 355 4 "y + " }{TEXT 357 1 "5" }
{TEXT 386 4 "z = " }{TEXT 358 1 "7" }{TEXT -1 2 ". " }}{PARA 0 "" 0 "
" {TEXT -1 99 "    Graph the two planes and the line of intersection o
n the same graph. Note that you may have to " }}{PARA 0 "" 0 "" {TEXT 
-1 35 "     experiment with the parameter " }{TEXT 321 1 "t" }{TEXT 
-1 56 " in the plot assignment to see a good graph of the line." }}
{PARA 0 "" 0 "" {TEXT -1 51 "6. Graph the following quadric surfaces:
\n     (a)  " }{XPPEDIT 18 0 "x^2/49+y^2/64+z^2/25 = 1;" "6#/,(*&%\"xG
\"\"#\"#\\!\"\"\"\"\"*&%\"yGF'\"#kF)F**&%\"zGF'\"#DF)F*F*" }{TEXT -1 
10 "\n     (b) " }{XPPEDIT 18 0 "4*y^2-4*x^2-16*z^2 = 16;" "6#/,(*&\"
\"%\"\"\"*$%\"yG\"\"#F'F'*&F&F'*$%\"xGF*F'!\"\"*&\"#;F'*$%\"zGF*F'F.F0
" }{TEXT -1 10 "\n     (c) " }{XPPEDIT 18 0 "z = sin*y;" "6#/%\"zG*&%$
sinG\"\"\"%\"yGF'" }{TEXT -1 3 "   " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }
}}}{MARK "11" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 1 2 
33 1 1 }{RTABLE_HANDLES 148258824 149867712 149802412 150133520 
149803772 150367144 149627568 149140948 149058952 149059024 150021388 
149116156 }{RTABLE 
M7R0
I6RTABLE_SAVE/148258824X*%)anythingG6"6"[gl!$%!!!"$"$!"""""""#F&
}
{RTABLE 
M7R0
I6RTABLE_SAVE/149867712X*%)anythingG6"6"[gl!$%!!!"$"$"""!"#F'F&
}
{RTABLE 
M7R0
I6RTABLE_SAVE/149802412X*%)anythingG6"6"[gl!$%!!!"$"$!"&!"%""#F&
}
{RTABLE 
M7R0
I6RTABLE_SAVE/150133520X*%)anythingG6"6"[gl!$%!!!"$"$!#b!#K"#@F&
}
{RTABLE 
M7R0
I6RTABLE_SAVE/149803772X*%)anythingG6"6"[gl!$%!!!"$"$,$*$""'#"""""##!""F),$F(#F
+F),$F(#F+""$F&
}
{RTABLE 
M7R0
I6RTABLE_SAVE/150367144X*%)anythingG6"6"[gl!$%!!!"$"$""&""$"""F&
}
{RTABLE 
M7R0
I6RTABLE_SAVE/149627568X*%)anythingG6"6"[gl!$%!!!"$"$""&""$"""F&
}
{RTABLE 
M7R0
I6RTABLE_SAVE/149140948X*%)anythingG6"6"[gl!$%!!!"$"$""%""$""*F&
}
{RTABLE 
M7R0
I6RTABLE_SAVE/149058952X*%)anythingG6"6"[gl!$%!!!"$"$!"""""""#F&
}
{RTABLE 
M7R0
I6RTABLE_SAVE/149059024X*%)anythingG6"6"[gl!$%!!!"$"$""'""&!"(F&
}
{RTABLE 
M7R0
I6RTABLE_SAVE/150021388X*%)anythingG6"6"[gl!$%!!!"$"$!"%!""!"&F&
}
{RTABLE 
M7R0
I6RTABLE_SAVE/149116156X*%)anythingG6"6"[gl!$%!!!"$"$!#K"#e"#9F&
}