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