If the position vectors of the vertices $A, B, C$ of a triangle are $3 \bar{i}+4 \bar{j}-\bar{k}$, $\overline{\mathrm{i}}+3 \overline{\mathrm{j}}+\overline{\mathrm{k}}, 5(\overline{\mathrm{i}}+\overline{\mathrm{j}}+\overline{\mathrm{k}})$ respectively, then the magnitude of the altitude drawn from $A$ on to the side $B C$ is

• Correct answer
  A

  $\frac{4 \sqrt{5}}{3}$
• B

  $\frac{5 \sqrt{5}}{3}$
• C

  $\frac{7 \sqrt{5}}{3}$
• D

  $\frac{8 \sqrt{5}}{3}$

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