If $\bar{a}=\bar{i}-2 \bar{j}-3 \bar{k}, \bar{b}=-2 \bar{i}+3 \bar{j}+4 \bar{k}, \bar{c}=5 \bar{i}-4 \bar{j}+3 \bar{k}$ and $\bar{d}=3 \bar{i}+\bar{j}+5 \bar{k}$ are four vectors then $(\bar{a} \times \bar{b}) \times(\bar{c} \times \bar{d})=$

• Correct answer
  A

  $18 \overline{\mathrm{i}}+6 \overline{\mathrm{j}}+30 \overline{\mathrm{k}}$
• B

  $8 \overline{\mathrm{i}}-3 \overline{\mathrm{j}}+8 \overline{\mathrm{k}}$
• C

  $19 \overline{\mathrm{i}}-5 \overline{\mathrm{j}}+21 \overline{\mathrm{k}}$
• D

  $27 \overline{\mathrm{i}}-8 \overline{\mathrm{j}}+29 \overline{\mathrm{k}}$

Hence, the correct answer is option: 'A'.