If $\bar{a}=2 \bar{i}-3 \bar{j}+5 \bar{k}$ and $\bar{b}=-\bar{i}+3 \bar{j}+3 \bar{k}$ are two vectors, then the vector of magnitude 28 units in the direction of the vector $\bar{a}-\bar{b}$ is

• A

  $3 \overline{\mathrm{i}}+6 \overline{\mathrm{j}}-2 \overline{\mathrm{k}}$
• Correct answer
  B

  $12 \overline{\mathrm{i}}-24 \overline{\mathrm{j}}+8 \overline{\mathrm{k}}$
• C

  $3 \overline{\mathrm{i}}-6 \overline{\mathrm{j}}-2 \overline{\mathrm{k}}$
• D

  $12 \overline{\mathrm{i}}+24 \overline{\mathrm{j}}-8 \overline{\mathrm{k}}$

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