Greetings

So I have a X-Y plane with 4 dots (corners of a rectangle). I know the coordinates of these dots. If I see these dots through another angle, (please refer these images), the plane will change and the distance the projection of these dots on the new plane will change too.. I want to learn how to calculate the new coordinates of these dots. What I have is the angle line perpendicular to the new plane. Angle which it makes with XY Plane and YZ Plane.

This seems as simple cos and sin of straight lines but I just cannot imagine/visualize it. Please refer the images. The images have dishes and the point I'm talking about are their centers. The numbers in the images came from CAD software, But I'd like to know how to find them manually.

This post is somewhat of a followup of my previous post a few weeks ago. I have thought of a way to solve my problem, but will require help studying coordinate system.

Thanks.