I am writing a 3D solar panel positioning programme and have a section of code where I use the Gram-Schmidt Orthogonalization process to go from 3D to 2D for easier calculations.
(For reference, here is the process in more detail: 3D to 2D rotation matrix)
My simple question is this.... after applying the orthogonalization processs, is one unit in 2D still the same length as a unit in 3D?
Am I right to assume that there is no distortion as the plane is simply rotated by the Gram-Schmidt process?
Many thanks for your time, Kelvin.