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Partially unpicking coordinate rotation

Snow

New member
Jul 23, 2019
1
I measured a vector many times, and then processed the data using a computer program. The program did a great many useful things, including rotate the coordinate system about all three axes.

I have measured values for x, y, and z along the original axes. The program helpfully gave me the values for the same vectors (u, v, and w) along the new axes. However, it did not provide the rotation angles.

I need to know how much of w acts along the original z axis. I do not need how much u and v act along the original z axis, only w.

Help!