Given the following diagrams representing coordinate transformation via rotations only, write the general form of the coordinate transformation matrix M that would be used to transform the components of a vector from coordinate system e; in to system e't. For parts a, b and c, your answers should only be in terms of cos(9), +sin(0), 1 and 0. a. ez b. G C. J ez a. Clockwise rotation of 9 degrees in the XY-plane (about the Z-axis). b. Counterclockwise rotation of 0 degrees in the XZ-plane (about the Y-axis). c. Clockwise rotation of 0 degrees in the YZ-plane (about the Z-axis). d. Calculate the coordinate transformation matrix M for Part b when the value of 0 = 75. G Activate Wind Go to Settings to a