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The origins of these frames are coincident. Show the deduction of the rotation matrix required to rotate the frame with [X1 Y1 Z1] axes

The origins of these frames are coincident. Show the deduction of the rotation matrix required to rotate the 


The origins of these frames are coincident. Show the deduction of the rotation matrix required to rotate the frame with [X1 Y1 Z1] axes 45 degrees counterclockwise as shown in the figure. If the drawing in the figure seems different to you, you can draw the coordinate frame according to you and explain the inference of the matrix accordingly.

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