Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)

Published by Pearson
ISBN 10: 0133942651
ISBN 13: 978-0-13394-265-1

Chapter 3 - Vectors and Coordinates Systems - Conceptual Questions - Page 77: 2

Answer

C can be less or equal to A+B but not greater than A+B.IF

Work Step by Step

If $\vec A $ and $ \vec B$ are coaxial then C can be equal to A+B. As the magnitude of sum of two vectors is equal to $\sqrt {A^2 + B^2 +2ABcos\theta }$ so there is no possibility of having C >A+B because maximum value for$ cos\theta$ is 1.
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