Essential University Physics: Volume 1 (3rd Edition)

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

Chapter 11 - Exercises and Problems: 34

Answer

The answer is below.

Work Step by Step

We know that the cross product of two vectors is a vector perpendicular to both. Thus, A cross B is perpendicular to A and B. Now, consider taking the dot product of A and A cross B. The dot product measures how parallel two vectors are. Since A cross B is perpendicular to A, this means that when we take the dot product of A and the result of the cross product, we will get 0.
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