Hi,

Ive been going over the analytical geo section of a 3d math primer for game development book and I am stuck on this question.

Calculate the intersection point(s), if any, between the line and the sphere.

Sphere: x^2 + y^2 + z^2 = 4

Line:

x = t

y = 2

z = 0

I know I need to get a quadratic to solve for t but I haven't been able to see exactly how to do this.

I have tried solving for t as you would with line, plane intersection and this obviously wasn't successful.

Thanks for any help or direction.