Hello, i'm working on an assignment where i have to find the rotation ThetaR around the z axis. I have two vectors lets call them vector a and b
Known values are: phia, theta a and phib and thetab but they are arbitary. As you can see in the picture i have to find the rotation around the z axis but i also have a tilt.
If i find the normal vector of these two vectors and compare this normal vector to the z axis i have my tilt as can be seen in the picture. But how do i now find theta R?
I know that x= sin (theta) x cos(phi) and y = sin (theta) x sin (phi) and z = cos(phi)
so the tilt can be calculated if you take the inner product of the two vectors with [ 0 0 1] which is de z axis but what to do to find thetaR?
Known values are: phia, theta a and phib and thetab but they are arbitary. As you can see in the picture i have to find the rotation around the z axis but i also have a tilt.
If i find the normal vector of these two vectors and compare this normal vector to the z axis i have my tilt as can be seen in the picture. But how do i now find theta R?
I know that x= sin (theta) x cos(phi) and y = sin (theta) x sin (phi) and z = cos(phi)
so the tilt can be calculated if you take the inner product of the two vectors with [ 0 0 1] which is de z axis but what to do to find thetaR?
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