Let v be a vector whose coordinates are given as v = [Vx, vy, Vz]". If th %3D quaternion Q represents a rotation, show that the new, rotated coordinates of v ar given by Q(0,vx, Vy, Vz)Q*, where (0, vy, Vy, Vz) is a quaternion with zero as its rea component,

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Let v be a vector whose coordinates are given as v = [vx, Vy, Vz. If the
quaternion Q represents a rotation, show that the new, rotated coordinates of v are
given by Q(0, Vx, Vy, Vz)Q*, where (0, vx, Vy, Vz) is a quaternion with zero as its real
component.
Transcribed Image Text:Let v be a vector whose coordinates are given as v = [vx, Vy, Vz. If the quaternion Q represents a rotation, show that the new, rotated coordinates of v are given by Q(0, Vx, Vy, Vz)Q*, where (0, vx, Vy, Vz) is a quaternion with zero as its real component.
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