University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 1 - Units, Physical Quantities, and Vectors - Problems - Discussion Questions - Page 27: Q1.26

Answer

It does not follow. Both components must be zero.

Work Step by Step

If a vector in the xy plane is the zero vector, then both its x-component and its y-component are equal to zero. The magnitude of a vector is the square root of the sum of the squares of its components, equation 1.11.
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