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## Q. 1.9

Find the unit vector having the same direction as v = 2i 3j.

## Verified Solution

Here $|\mathbf{v}|=\sqrt{4+9}=\sqrt{13}$, so $\mathbf{u}=\mathbf{v} /|\mathbf{v}|=(2 / \sqrt{13}) \mathbf{i}-(3 / \sqrt{13}) \mathbf{j}$ is the required unit vector.