Essential University Physics: Volume 1 (3rd Edition)

Published by Pearson
ISBN 10: 0321993721
ISBN 13: 978-0-32199-372-4

Chapter 6 - Exercises and Problems - Page 106: 48


$\vec{A}\cdot \vec{B}=A_xB_x + A_yB_y+A_zC_z$

Work Step by Step

a) Anything dotted with itself is one, so the value of all of these dot products (also known as scalar products) is one. b) We know that anything dotted with a different unit vector is 0, so the value of all of these dot products is 0. c) Using the distributive property and the results from a) and b), we find: $\vec{A}\cdot \vec{B}=A_xB_x + A_yB_y+A_zC_z$
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