I'm trying to learn how to figure out the X,Y,Z rotation angles of a plane so that it is normal to a unit vector. I have a coordinate point that is on the plane and a unit vector that is normal to plane to start with. Appreciate any help I can get.
Let (a, b, c) be the point and <P, Q, R> the normal vector. Then any point (x, y, z) that lies on that plane satisfies <x- a, y- b, z- c>.<P, Q, R>= P(x- a)+ Q(y- b)+ R(z- c)= 0. It is easy to get the angles from the equation of the plane.