title: How do I find the orthogonal projection of a point onto a plane
body: <p>Lets say I have point (x,y,z) and plane with point (a,b,c) and normal (d,e,f).  I want to find the point that is the result of the orthogonal projection of the first point onto the plane.  I am using this in 3d graphics programming.  I want to achieve some sort of clipping onto the plane.</p>