What is the area of the triangle OAB where O is the origin, $\overrightarrow{\mathrm{OA}}=3 \hat{i}-\hat{j}+\hat{k}$ and $\overrightarrow{\mathrm{OB}}=2 \hat{i}+\hat{j}-3 \hat{k}$ ?

• A

  $5 \sqrt{6}$ square unit
• Correct answer
  B

  $\frac{5 \sqrt{6}}{2}$ square unit
• C

  $\sqrt{6}$ square unit
• D

  $\sqrt{30}$ square unit

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