Question

In Problem, find

$v=i-j$

Short answer

The magnitude of v,$\left|v\right|=\sqrt{2}$

Step-by-step solution

Step1. Given information

$v=i-j$

We know that if,

$$\begin{gathered} v=xi+yj \\ thenmagnitudeofv, \\ \left|v\right|=\sqrt{x^2+y^2} \end{gathered}$$

Step2. Calculating the magnitude of v

$v=i-j$

compare x and y with 1 and -1

$$\begin{gathered} v=\sqrt{1^2+{(-1)}^2} \\ v=\sqrt{1+1} \\ v=\sqrt{2} \end{gathered}$$