# 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),

$\left|\hat{i}-\hat{j}\right|=\sqrt{{\left|\hat{i}\right|}^{2}+{\left|\hat{j}\right|}^{2}-2\left|\hat{i}\right|\left|\hat{j}\right|\mathrm{cos}{90}^{0}}\phantom{\rule{0ex}{0ex}}\Rightarrow \left|\hat{i}-\hat{j}\right|=\sqrt{{1}^{2}+{1}^{2}-2\times 1\times 1\times 0}\phantom{\rule{0ex}{0ex}}\Rightarrow \left|\hat{i}-\hat{j}\right|=\sqrt{2}units$

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