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Chapter 9: Q. 40 (page 603)

Find the $∥ v ∥$ , if $v = 6 i + 2 j$

Short Answer

Expert verified

The solution is $∥ v ∥ = 6.324$ , if $v = 6 i + 2 j$

Step by step solution

01

step 1.Given information

$v = 6 i + 2 j$

02

step 2.solution

We already know that $∥ v ∥ = \sqrt{{(a)}^{2} + {(b)}^{2}}$ if $v = a i + b j$ , here $a = 6 & b = 2$
$∥ v ∥ = \sqrt{{(6)}^{2} + {(2)}^{2}} ∥ v ∥ = \sqrt{36 + 4} ∥ v ∥ = \sqrt{40} ∥ v ∥ = 6.324$

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