જો $\bar{a} = \hat{i} - \hat{j}$,$\bar{b} = \hat{j} - \hat{k}$,અને $\bar{c} = \hat{k} - \hat{i}$ હોય,તો એકમ સદિશ $\bar{d}$ શોધો કે જેથી $\bar{a} \cdot \bar{d} = 0$ અને $[\bar{b} \bar{c} \bar{d}] = 0$ થાય.

• A
  $\pm \left( \frac{\hat{i} + \hat{j} + 2\hat{k}}{\sqrt{6}} \right)$
• B
  $\pm \left( \frac{\hat{i} + \hat{j} + \hat{k}}{\sqrt{3}} \right)$
• C
  $\pm \left( \frac{\hat{i} - \hat{j} - 2\hat{k}}{\sqrt{6}} \right)$
• D
  $\pm \left( \frac{\hat{i} + \hat{j} - 2\hat{k}}{\sqrt{6}} \right)$