ધારો કે એક એકમ સદિશ $\overrightarrow{C}$ છે જે $2 \hat{i}+2 \hat{j}-\hat{k}$ સાથે $60^{\circ}$ નો ખૂણો અને $\hat{i}-\hat{k}$ સાથે $45^{\circ}$ નો ખૂણો બનાવે છે. તો $\overrightarrow{C}+\left(-\frac{1}{2} \hat{i}+\frac{1}{3 \sqrt{2}} \hat{j}-\frac{\sqrt{2}}{3} \hat{k}\right)$ શું થાય?

• A
  $-\frac{\sqrt{2}}{3} \hat{i}+\frac{\sqrt{2}}{3} \hat{j}+\left(\frac{1}{2}+\frac{2 \sqrt{2}}{3}\right) \hat{k}$
• B
  $\frac{\sqrt{2}}{3} \hat{i}+\frac{1}{3 \sqrt{2}} \hat{j}-\frac{1}{2} \hat{k}$
• C
  $\left(\frac{1}{\sqrt{3}}+\frac{1}{2}\right) \hat{i}+\left(\frac{1}{\sqrt{3}}-\frac{1}{3 \sqrt{2}}\right) \hat{j}+\left(\frac{1}{\sqrt{3}}+\frac{\sqrt{2}}{3}\right) \hat{k}$
• D
  $\frac{\sqrt{2}}{3} \hat{i}-\frac{1}{2} \hat{k}$