Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 11 - Vectors and Vector-Valued Functions - 11.1 Vectors in the Plane - 11.1 Exercises - Page 767: 5

Answer

Vectors with the same direction and magnitude as $v$ can be placed anywhere in the plane.

Work Step by Step

A vector $v$ is defined by its direction and magnitude. Because we can draw vectors $w$ with the same direction and magnitude anywhere in the plane, it means there are infinitely many vectors equal to $v$. See the drawing as an example:
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