A vector $\sqrt{3}\widehat{i}+\widehat{j}$ rotates about its tail through an angle ${30}^0$ in clock wise direction then the new vector magnitude is _________units

When the given vector rotates, its direction changes but not its magnitude. The magnitude of $\sqrt{3}\widehat{i}+\widehat{j}=2.$ The angle made by the vector with X-axis is $\tan \theta =\frac{Ay}{Ax}=\frac{1}{\sqrt{3}}\therefore \theta ={30}^0$ when the given vector rotates ${30}^0$ in clock wire its direction changes  along X-axis but its magnitude does not change. The new vector is $2 \hat{i}$.