I added a picture here for the challenge of the day! I have a coordinate system (Xg, Yg, Zg) marked in blue color, and I want to determine their positions in the space (Xf, Yf, Zf). Those are unit vectors, so their values area always 1.
The angle Phi is determined by Xg and Xf. In the same way Theta is determined by Zg and Zf.
My first question is:
based on the two mentioned angles, can we determine the position of each axis ?
The second question is:
If not, what are the minimum needed arguments in order to identify their positions?
Thanks everyone, and have a nice day :)