I want to project my Polygon along a vector to a plane in 3d Space. I would preferably use a single transformation matrix to do this, but I don't know how to build a matrix of this kind.

Given

• the plane's parameters (ax+by+cz+d),
• the world coordinates of my Polygon. As stated in the the headline, all vertices of my polygon lie in another plane.
• the direction vector along which to project my Polygon (currently the polygon's plane's normal vector)

goal -a 4x4 transformation matrix which performs the required projection,

or

• some insight on how to construct one myself