Is the point visible from the point
if there is an opaque ball of radius
centered at the origin?
Suppose that you stand at the point and look
in the direction of a point that is not visible because it is behind
the ball. You will then be looking at a point on the sphere.
If is not visible from ,
find the point on the sphere at which you are looking if you look in the
direction of . Otherwise, find the point on the
sphere at which you look if you are looking in the direction of
.
Point
You can earn partial credit on this problem.