Question

Find ||v||. If v=6i+2j

Short answer

6.324

Step-by-step solution

step 1

Given information: v=6i+2j

step 2

$Weknowthat\left|\right|v\left|\right|=\sqrt{{\left(a\right)}^2+{\left(b\right)}^2}$

step 3

$$\begin{gathered} \left|\right|v\left|\right|=\sqrt{{\left(6\right)}^2+{\left(2\right)}^2} \\ \left|\right|v\left|\right|=\sqrt{36+4} \\ \left|\right|v\left|\right|=\sqrt{40} \\ \left|\right|v\left|\right|=6.324 \end{gathered}$$