This question is for practice only. There is no learning standard tested.

Is the point $(-2,-3,3)$ visible from the point $(2,3,0)$ if there is an opaque ball of radius $1$

centered at the origin?

Suppose that you stand at the point $(2,3,0)$ 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 $(-2,-3,3)$ is not visible from $(2,3,0),$ find the point on the sphere at which you are looking if

you look in the direction of $(-2,-3,3).$ Otherwise, find the point on the sphere at which you look

if you are looking in the direction of $(-2,-3,2).$

Point $(x,y,z)=$