a) Write down the equations of the rotation matrix in 2D and 3D. • 2D: o' = Ro * R^T & 3D: C' = R*R*C * R^T * R^T b) Code up an example of using a rotation matrix to rotate a vector v = [3, 5, 8] about the x-axis by 15 degrees and then about the z-axis by 5 degrees. c) Produce plots of the vector before and after the rotation. d) Calculate the lengths of the vectors before and after rotation.

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This is in python, I need help on b, c, and d.
a) Write down the equations of the rotation matrix in 2D and 3D.
• 2D: o' = Ro * R^T & 3D: C' = R*R*C * R^T * R^T
b) Code up an example of using a rotation matrix to rotate a vector v = [3,5, 8] about the x-axis
by 15 degrees and then about the z-axis by 5 degrees.
c) Produce plots of the vector before and after the rotation.
d) Calculate the lengths of the vectors before and after rotation.
Transcribed Image Text:a) Write down the equations of the rotation matrix in 2D and 3D. • 2D: o' = Ro * R^T & 3D: C' = R*R*C * R^T * R^T b) Code up an example of using a rotation matrix to rotate a vector v = [3,5, 8] about the x-axis by 15 degrees and then about the z-axis by 5 degrees. c) Produce plots of the vector before and after the rotation. d) Calculate the lengths of the vectors before and after rotation.
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