Chapter 9.4, Problem 36AYU

In Problems 37-42, find $\Vert v\Vert$.

$v=-\text{5}i+12j$

To determine

To find: $\Vert v\Vert$

Answer to Problem 36AYU

Solution:

13

Explanation of Solution

Given:

$v=-5i+12j$

Calculation:

Let $v=a_{1}i+b_{1}j=\langle a_1,b_1\rangle$. Then $\Vert v\Vert =\sqrt{a_1^2+b_1^2}$.

Here $a_1=-5;b_1=12$,

$\Vert v\Vert =\sqrt{{\left(-5\right)}^2+{\left(12\right)}^2}=\sqrt{25+144}=\sqrt{169}=13$