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Chapter 9: Q. 39 (page 603)

Find the $∥ v ∥$ , if $v = - 2 i + 3 j$

Short Answer

Expert verified

solution is $∥ v ∥ = 3.605$ , if $v = - 2 i + 3 j$ $T h e v a l u e o f ∥ v ∥ i s 3.605, i f v = - 2 i + 3 j$

Step by step solution

01

step 1.Given information

$v = - 2 i + 3 j$

02

step 2.solution

We already know that $∥ v ∥ = \sqrt{{(a)}^{2} + {(b)}^{2}}$ , if $v = a i + b j$ here $a = - 2 & b = 3$
$∥ v ∥ = \sqrt{{(- 2)}^{2} + {(3)}^{2}} ∥ v ∥ = \sqrt{4 + 9} ∥ v ∥ = \sqrt{13} ∥ v ∥ = 3.605$

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