Mathematics - Vector Question with Solution | TestHub

Let a unit vector which makes an angle of $60^{\circ }$ with $2\hat{i}+2\hat{j}-\hat{k}$ and angle $45^{\circ }$ with $\hat{i}-\hat{k}$ be $\overrightarrow{\mathrm{C}}$. Then $\overrightarrow{\mathrm{C}}+\left(-\frac{1}{2}\hat{i}+\frac{1}{3\sqrt{2}}\hat{j}-\frac{\sqrt{2}}{3}\hat{k}\right)$ is :