## Precalculus (6th Edition) Blitzer

Published by Pearson

# Chapter 6 - Section 6.6 - Vectors - Exercise Set - Page 791: 1

#### Answer

a) The magnitude of the vector $u$ is equal to $\sqrt{41}$. b) The magnitude of the vector $v$ is equal to $\sqrt{41}$. c) Yes, $u=v$

#### Work Step by Step

a) Here, $u=5i+4j$ and $|u|=\sqrt{5^2+4^2}=\sqrt{41}$ This means that the magnitude of the vector $u$ is equal to $\sqrt{41}$. b) Here, $v=5i+4j$ and $|v|=\sqrt{5^2+4^2}=\sqrt{41}$ This means that the magnitude of the vector $v$ is equal to $\sqrt{41}$. c) Yes, $u=v$ Both the vectors $u$ and $v$ have the same magnitude, that is, $\sqrt {41}$ and both have the same direction as they are parallel.

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