Question

Find $\left|\left|v\right|\right|$

$v=-6i+12j+4k$

Short answer

The norm of the vector $v=-6i+12j+4k$is$\left|\left|v\right|\right|=14$

Step-by-step solution

Step 1. Give data 

Given vector is

$v=-6i+12j+4k$

Step 2. Norm of vector 

Use formula of the norm of a vector $v=ai+bj+ck$

$\left|\right|v\left|\right|=\sqrt{a^2+b^2+c^2}$

so norm of the vector $v=-6i+12j+4k$

localid="1646775142927" $$\begin{gathered} \left|\left|v\right|\right|=\sqrt{{\left(-6\right)}^2+{\left(12\right)}^2+{\left(4\right)}^2} \\ \left|\left|v\right|\right|=\sqrt{36+144+16} \\ \left|\left|v\right|\right|=\sqrt{196} \\ \left|\left|v\right|\right|=14 \end{gathered}$$