Please Answer this.

Dear Student,

Please find below the solution to the asked query:

Here, the magnitude of the unit vectors is 1 unit. So, according to the law of vector addition (subtraction), 

$$\begin{gathered} \left|\hat{i}-\hat{j}\right|=\sqrt{{\left|\hat{i}\right|}^2+{\left|\hat{j}\right|}^2-2\left|\hat{i}\right|\left|\hat{j}\right| \cos {90}^0} \\ \Rightarrow \left|\hat{i}-\hat{j}\right|=\sqrt{1^2+1^2-2\times 1\times 1\times 0} \\ \Rightarrow \left|\hat{i}-\hat{j}\right|=\sqrt{2} units \end{gathered}$$

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