Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 3 - Vectors and Coordinate Systems - Conceptual Questions - Page 82: 7



Work Step by Step

Assume the x-component is zero and the y-component is any value $j$. The magnitude is $\sqrt{j^2}=j$. If $j$ is non-zero, the magnitude is non-zero. Therefore, a vector with a non-zero component cannot have a zero magnitude.
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