Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.6 - Vectors - Concept and Vocabulary Check - Page 781: 11


For any nonzero vector v, the unit vector that has the same direction as v is $\frac{\mathbf{v}}{\left| \left| \mathbf{v} \right| \right|}$; to find this vector, divide v by its magnitude.

Work Step by Step

To find the unit vector of v, in the same direction of v, we will divide this vector v by its magnitude as shown below: $\mathbf{\hat{v}}=\frac{\mathbf{v}}{\left\| \mathbf{v} \right\|}$ Where $\left( {\hat{v}} \right)$ denotes the representation of the unit vector.
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