Given two plane equations: P1: and P2:
Find the line equation which is the intersection of these plane and passes through the point
Find the plane equation which is perpendicular to P1 and P2 and passes through
Use Maple to plot your answers for a) and b) above.
Given three points: and
Find the plane equation which passes through and
Find the area of the triangle
Given four points: , and
Determine if these four points lie on the same plane.
If these four points do not lie on the same plane, find the volume of the parallelepiped formed by and
Discusses (i) the traces (when and respectively) and (ii) the surfaces for the following 'three dimensional' equations:
Converting to equations in cylindrical and spherical coordinate systems respectively.
Describe and write it in rectangular coordinate system.
Find the spherical equation for the sphere which is center at and has radius .