Hmm, Im all confused.
So you say the coords of vector v remain unchanged. I don't understand this.
Lets then say that a second coord system is not a reflection but a rotation with its forward vector (z component) its facing (0.5, 0, -1), and its up (y) and right (x) are orthonormalized in respect to forward (z), that is they are the same as in first coord system. What would than be the coord of a vector v ?
Would it still remain the same ?
I don't mean the rotation around vector v, just its coords in respect to second coord system.