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  3. given a point p = (2, 1, 2) and using the homogeno

Given a point P = (2, 1, 2) and using the homogenous representation: Calculate the coordinates of...

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Mechanical Engineering

Given a point P = (2, 1, 2) and using the homogenousrepresentation:

Calculate the coordinates of the transformed point P*if P is rotated about the X, Y, andZ axes by angles 60°, 30°, and 60° respectively.

If the point P* obtained in part (a) is to be rotatedback to its original position, find the corresponding rotationmatrix. Verify your answer.

Calculate P* if P is translated byd = 2i – 3j +k and then scaled uniformly by s=3.0.

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