Intersection between a line and a sphere

Question

I\'m trying to find the point of intersection between a sphere and a line but honestly, I don\'t have any idea of how to do so. Could anyone help me on this one ?

Answer 1

Find the solution of the two equations in (x,y,z) describing the line and the sphere.

There may be 0, 1 or 2 solutions.

• 0 implies they don't intersect
• 1 implies the line is a tangent to the sphere
• 2 implies the line passes through the sphere.