If $\bar{a}=\bar{i}-2 \bar{j}-2 \bar{k}$ and $\bar{b}=2 \bar{i}+\bar{j}+2 \bar{k}$ are two vectors then $(\bar{a}+2 \bar{b}) \times(3 \bar{a}-\bar{b})=$

• A

  $2 \bar{i}+6 \bar{j}-5 \bar{k}$
• B

  $6 \bar{i}-2 \bar{j}+3 \bar{k}$
• C

  $14 \bar{i}+7 \bar{j}-5 \bar{k}$
• Correct answer
  D

  $14 \bar{i}+42 \bar{j}-35 \bar{k}$

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