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Given a point P = (2, 4, 8) and using the homogeneous representation: Calculate the coordinates of the transformed point P* if P is rotated about the X, Y, and Z axes at angles of 30, 60, and 90 degree, respectively. 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. Calculate P* if P is translated by d = 3i – 4j – 5k and then scaled uniformly by S = 1.5. Calculate the orthographic projection P of P.v Calculate the perspective projection P of P if the center of projection is at distance d = 10 inches v from the origin along the Z axis.


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