I have as knowns some 3 points which I am fitting a plane to.
Given that I have calculated the normal vector as the cross of the vectors defined by those points, is it legal to choose $P_0$ as one of those three points that I used to calculate the normal vector?
It'll go into a function that looks something like $f(P_1,P_2,P_3) = (P_i - P_0)^T \hat n$
My intuition says yes, just want to be sure, been a while since linear algebra.