Physics - Vectors Question with Solution | TestHub

To find the unit vector in the direction of $\vec{V}$, we divide the vector by its magnitude. First, calculate the magnitude of $\vec{V}$: $|\vec{V}|=\sqrt{3^2+(-4{)}^2}=\sqrt{9+16}=\sqrt{25}=5$. The unit vector $\hat{V}$ is then $\hat{V}=\frac{\vec{V}}{|\vec{V}|}=\frac{3\hat{i}-4\hat{j}}{5}=\frac{1}{5}(3\hat{i}-4\hat{j})$.