Hello, this is some continuation of my previous posted topic on transformation. I have attached two pictures of rotation of different axes, i.e. X, Y and Z. Z rotation is the projection on XY plane for two different Z rotation. It shows how the length of the axis varies depending on Z rotation. Now my question is, from this information is it possible to figure out rotation of Z axis. Here as rotation is on XY plane, the length of X and Y axis does not vary, but that of Z-axis varies.

Thanks in advance.