Question

Prove that the sphere x^2+y^2+z^2=a^2 and the cone x^2+y^2-z^2=0 are orthogonal at every point of intersection.

Answer 1

I know we use dot product to show that the dot product is 0. But we need a vector of some sort. Now sure how to do that...

Answer 2

Can you find the points of intersection first?

Answer 3

It's okay @wio. I got it.