Question

Find the norm of the vector.$v=\left(3,-4\right)$

Short answer

The norm of the vector $v=\left(3,-4\right)$is$5$.

Step-by-step solution

Step 1. Given information . 

We have given vector$v=\left(3,-4\right)$

Step 2. Find the norm of the vector.

$$\begin{gathered} ||v||=\sqrt{a^2+b^2} \\ =\sqrt{3^2+{\left(-4\right)}^2} \\ =\sqrt{9+16} \\ =\sqrt{25} \\ =5 \end{gathered}$$