Essential University Physics: Volume 1 (4th Edition)

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 3 - For Thought and Discussion - Page 50: 2

Answer

Part I: Yes Part II: No

Work Step by Step

Magnitude does not consider the sign on the number. Thus, if one vector is +5 in the x direction and one is -5 in the x-direction, their magnitudes will be equal, but they add to 0. However, if vectors have different magnitudes, they will never add to 0, for two numbers of different magnitude can never equal 0.
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