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1. Short Answer Question: Is the product of a rotation matrix with another (different) rotation matrix still a rotation matrix? Why or why not?

1. Short Answer Question: Is the product of a rotation matrix with another (different) rotation matrix still a rotation matrix? Why or why not?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Short Answer Question: Is the product of a rotation matrix with another (different) rotation matrix still a rotation matrix? Why or why not? 2. Short Answer Question: When trying to find the orientation of one coordinate system relative to another, does the location of the coordinate systems' origins affect the result? Why or why not?
Transcribed Image Text:1. Short Answer Question: Is the product of a rotation matrix with another (different) rotation matrix still a rotation matrix? Why or why not? 2. Short Answer Question: When trying to find the orientation of one coordinate system relative to another, does the location of the coordinate systems' origins affect the result? Why or why not?
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