જો $\overline{p}=2 \hat{i}+\hat{k}$,$\overline{q}=\hat{i}+\hat{j}+\hat{k}$,$\overline{r}=4 \hat{i}-3 \hat{j}+7 \hat{k}$ અને સદિશ $\overline{m}$ એવો હોય કે જેથી $\overline{m} \times \overline{q}=\overline{r} \times \overline{q}$ અને $\overline{m} \cdot \overline{p}=0$ થાય,તો $\overline{m} = \dots$

• A
  $\hat{i}-8 \hat{j}-2 \hat{k}$
• B
  $-10 \hat{i}+3 \hat{j}+7 \hat{k}$
• C
  $-\hat{i}-8 \hat{j}+2 \hat{k}$
• D
  $2 \hat{i}+4 \hat{j}+\hat{k}$