Vectors in Three Dimensions
1. Write the equation of the
plane passing through the point (1,1,1) that is parallel to
the xy-plane.
2. Find the equation of the sphere
in standard form that is centered at (-1,7,4) and has a radius of
4.
3. If P(-2,5,-8) and
M(1,-7,4) where M is the midpoint of the line segment \(\overline{PQ}\),
what are the coordinates of the point Q ?