Suppose that a view with coordinate matrix P is to be rotated through an angle about an

Chapter 10, Problem 6

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Suppose that a view with coordinate matrix P is to be rotated through an angle about an axis through the origin and specified by two angles and (see Figure Ex-6). If is the coordinate matrix of the rotated view, find rotation matrices , , , , and such that [Hint: The desired rotation can be accomplished in the following five steps: 1. Rotate through an angle of about the y-axis. 2. Rotate through an angle of about the z-axis. 3. Rotate through an angle of about the y-axis. 4. Rotate through an angle of about the z-axis. 5. Rotate through an angle of about the y-axis.] Figure Ex-6

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