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Chapter 9: Q. 35 (page 603)

In Problem, find $|v|$
$v = 3 i - 4 j$

Short Answer

Expert verified

The magnitude of vector v, $|v| = 5$

Step by step solution

01

Step1. Given information

We know that if $v = a i + b j$

then the magnitude of v, $|v| = \sqrt{a^{2} + b^{2}}$

02

Step2.calculating the v

$v = 3 i + 4 j$

compare a and b with 3 and 4

$T h u s, |v| = \sqrt{3^{2} + 4^{2}} |v| = \sqrt{9 + 16} |v = \sqrt{25}| |v| = 5$

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