Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 3 - Vectors in Physics - Conceptual Questions - Page 76: 4

Answer

No.

Work Step by Step

Let A be the magnitude of a vector $A$: A $=\sqrt {(A_x)^2+(A_y)^2}$. $(A_x)^2$ and $(A_y)^2$ are both nonnegative values. So: A² $=(A_x)^2+(A_y)^2\geq(A_x)^2$ and A² $=(A_x)^2+(A_y)^2\geq(A_y)^2$ That is: A $\gt |A_x|$ and A $\gt |A_y|$
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