Solved: (a) View 14 is View 1 subject to the following seven transformations: 1. Scale

Chapter 10, Problem 5

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(a) View 14 is View 1 subject to the following seven transformations: 1. Scale by a factor of .3 in the x-direction and by a factor of .5 in the y-direction. 2. Rotate 45 about the x-axis. 3. Translate 1 unit in the x-direction. 4. Rotate 35 about the y-axis. 5. Rotate 45 about the z-axis. 6. Translate 1 unit in the z-direction. 7. Scale by a factor of 2 in the x-direction. Construct the matrices M1, M2,...,M7 associated with these seven transformations. (b) If P is the coordinate matrix of View 1 and P is the coordinate matrix of View 14, express P in terms of M1, M2,...,M7, and P.