જો $\overline{a} = \hat{i} + \hat{j} + \hat{k}$ અને $\overline{b} = \hat{j} - \hat{k}$ હોય,તો $\overline{a} \times \overline{r} = \overline{b}$ અને $\overline{a} \cdot \overline{r} = 3$ નું સમાધાન કરતો સદિશ $\overline{r}$ શોધો.

• A
  $\frac{5}{3} \hat{i} + \frac{2}{3} \hat{j} + \frac{2}{3} \hat{k}$
• B
  $-\frac{5}{3} \hat{i} + \frac{2}{3} \hat{j} + \frac{2}{3} \hat{k}$
• C
  $\frac{5}{3} \hat{i} - \frac{2}{3} \hat{j} + \frac{2}{3} \hat{k}$
• D
  $-\frac{5}{3} \hat{i} + \frac{2}{3} \hat{j} + \frac{1}{3} \hat{k}$