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: Q1.15

Answer

Both situations are impossible.

Work Step by Step

The magnitude of a vector is the square root of the sum of the squares of its components, equation 1.11. If the vector magnitude is zero, all of the components must be zero. Also, from the definition it is clear that the vector magnitude is at least as great as the magnitude of any of its components.
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