
3D Vector Geometry
My first post, so would be very grateful if anyone could help...
I have a problem concerning the calculation of intercept points of lines on the surface of a cube.
Firstly consider a set of parallel lines that are heading towards a cube and travelling in the direction parallel to the x axis. The y and z separations of the intercept points on the yz plane (x=0) of the cube are given by s.
I now need to consider the same set of lines, but travelling in an arbitrary direction and intercepting on any face of the cube. For a given intercept point, I need to find the (dx,dy,dz) distance, on the surface of the cube, to the intercepts of the adjacent lines.
Does anyone have any suggestions?