If $\bar{a}=\bar{i}+\sqrt{11} \bar{j}-2 \bar{k}$ and $\bar{b}=\bar{i}+\sqrt{11} \bar{j}-10 \bar{k}$ are two vectors then the component of $\bar{b}$ perpendicular to $\bar{a}$ is

• A

  $3 \bar{i}-\sqrt{11} \bar{j}-4 \bar{k}$
• B

  $\bar{i}-\sqrt{11} \bar{j}-5 \bar{k}$
• Correct answer
  C

  $-(\bar{i}+\sqrt{11} \bar{j}+6 \bar{k})$
• D

  $-5 \bar{i}+\sqrt{11} \bar{j}+3 \bar{k}$

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