Question

In Problem, find $\left|v\right|$

$v=3i-4j$

Short answer

The magnitude of vector v,$\left|v\right|=5$

Step-by-step solution

Step1. Given information

We know that if $v=ai+bj$

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

Step2.calculating the v 

$v=3i+4j$

compare a and b with 3 and 4

$$\begin{gathered} Thus, \\ \left|v\right|=\sqrt{3^2+4^2} \\ \left|v\right|=\sqrt{9+16} \\ \left|v=\sqrt{25}\right| \\ \left|v\right|=5 \end{gathered}$$