Partially unpicking coordinate rotation

[Snow1]

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!

 

[jvicens]

Hello,

Thank you for sharing your results. It sounds like your computer program was able to perform some complex calculations and provide you with useful data. However, it seems that you are now facing a challenge in interpreting the results and specifically determining the amount of w that acts along the original z axis.

To answer your question, you will need to use the values for u, v, and w along the new axes, as well as the rotation angles for each axis. These rotation angles will tell you how much the coordinate system was rotated about each axis, which will allow you to determine the amount of w that acts along the original z axis.

If your program did not provide the rotation angles, you may need to go back and check the settings or parameters that you used when running the program. Alternatively, you could try using a different program or method to calculate the rotation angles. Once you have these values, you can use them to determine the amount of w that acts along the original z axis.

I hope this helps and good luck with your research.