(a) Prove that the two-dimensional rotation matrix (1.29) preserves dot products. (That is, show that Ay By...

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(a) Prove that the two-dimensional rotation matrix (1.29) preserves dot products. (That is, show that Ay By + A z B z = Ay By + A z B z.)

(b) What constraints must the elements (Rij) of the three-dimensional rotation matrix (1.30) satisfy in order to preserve the length of A (for all vectors A)?

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Introduction to Electrodynamics

ISBN: 978-8120316010

3rd Edition

Authors: David J. Griffiths

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Question Posted: Nov 25, 2010 06:29 AM

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(a) Prove that the two-dimensional rotation matrix (1.29) preserves dot products. (That is, show that Ay By...

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a cos 6A sin A cos By sin B sin Ay cos 6A sin oB cos oB cos Ay By sin cos AB AB sin ...View the full answer

Introduction to Electrodynamics

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