Having some issues regarding the Euler's angles. Following is the short description of them problem.
In the first step, I determined the Euler's angles to invert my frame of reference that is , and axes become , and respectively. I calculated the Euler's angles to be in degrees for scheme of transformation.
Now I expect that transforming any vector by same Euler's angles will invert it. For example, if I transform vector with Euler's angles , I should get the vector , but I find that it remains unchanged.