Prove that is equivalent to the general rotation

Question

Problem

1. Show that rotation matrix 11-35 is equal to the composite matrix Ry(f31 R:$).

2. Prove that the quaternion rotation matrix. reduces to the matrix representation when the rotation axis is the coordinate z axis.

3. Prove that is equivalent to the general rotation transformation given.

4. Write a procedure to implement general rotation transformations using the rotation matrix 1.