Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 8 - 8.3 - Vectors in the Plane - 8.3 Exercises - Page 585: 12

Answer

Not Equivalent

Work Step by Step

NOTE: Two vectors are equivalent when they have the same magnitude and direction. Magnitude of $\overrightarrow{u}$: $\sqrt {(4-0)^{2} + (7-2)^{2}} = 6.40$ Magnitude of $\overrightarrow{v}$: $\sqrt {(9-1)^{2} + (2 - (-8))^{2}} = 12.81$ Since the vectors do not have the same magnitude, they are not equivalent.
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