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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 9: Q. 36 (page 603)

In Problem, find $|v|$
$v = - 5 i + 12 j$

Short Answer

Expert verified

The magnitude of v, $|v| = 13$

Step by step solution

01

Step1. Given information

WE know that if

$v = a i + b j t h e n m a g n i t u d e |v| = \sqrt{a^{2} + b^{2}}$

02

Step2. Calculating the magnitude of v

$v = - 5 i - 12 j$

compare a and b with -5 and -12

the magnitude of v,

|v| = \sqrt{{(- 5)}^{2} + {(- 12)}^{2}} |v| = \sqrt{25 + 144} |v| = 5

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