2. Given a point P = (3, 1, 2) and using the homogenous representation: (a) Calculate the coordinates of the transformed point P* if P is rotated about the X, Y, and Z axes by angles 60°, 30°, and 60° respectively. (b) If the point P* obtained in part (a) is to be rotated back to its original position, find the corresponding rotation matrix. Verify your answer. (c) Calculate P* if P is translated by d = 2i – 3j + k and then scaled uniformly by s=3.0.