Let $\bar{a}=2 \bar{i}+\bar{j}-2 \bar{k}$ and $\bar{b}=\bar{i}+\bar{j}$ be two vectors. If $\bar{c}$ is a vector such that $\bar{a} \cdot \bar{c}=|\bar{c}|,|\bar{c}-\bar{a}|=2 \sqrt{2}$ and the angle between $\bar{a} \times \bar{b}$ and $\bar{c}$ is $30^{\circ}$, then $|(\bar{a} \times \bar{b}) \times \bar{c}|=$

• A

  $\frac{2}{3}$
• Correct answer
  B

  $\frac{3}{2}$
• C

  2
• D

  3

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