$\mathrm{O}(0,0,0), \mathrm{A}(3,1,4), \mathrm{B}(1,3,2)$ and $\mathrm{C}(0,4,-2)$ are the vertices of a tetrahedron. If G is the centroid of the tetrahedron and $\mathrm{G}_1$ is the centroid of its face ABC, then the point which divides $\mathrm{GG}_1$ in the ratio $1: 2$ is

• A

  $\left(\frac{10}{3}, \frac{20}{3}, \frac{10}{3}\right)$
• B

  $\left(\frac{20}{9}, \frac{10}{9}, \frac{10}{9}\right)$
• Correct answer
  C

  $\left(\frac{10}{9}, \frac{20}{9}, \frac{10}{9}\right)$
• D

  $\left(\frac{20}{3}, \frac{10}{3}, \frac{10}{3}\right)$

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