Q:

n planes intersection

I have n 3D planes each with distance 1.0 from the origin. I know they all intersect at a point in space. I know each planes normal (and a point on each plane, since they all distance 1.0 from the origin, along the normal).
Is there a way to calculate this intersection? I know how to calculate an intersection of 2 or 3 planes, but I dont know how to proceed with a variable number of planes
Thank you

A:

The intersection of 2 planes is a line. The intersection of 3 planes is a point in the 3D space.
So, of all the planes, select any 3 planes and find their point of intersection. All other planes (if they are indeed intersecting at the same point) will also intersect at this point. That is the point you're looking for!

