$A(3, 2, -1), B(4, 1, 1), C(6, 2, 5)$ are three points. If $D, E, F$ are three points which divide $BC, CA, AB$ respectively in the same ratio $2: 1$,then the centroid of $\triangle DEF$ is
- A$\left(\frac{13}{3}, \frac{5}{3}, \frac{5}{3}\right)$
- B$(13, 5, 5)$
- C$(4, 2, 1)$
- D$\left(\frac{11}{3}, \frac{4}{3}, \frac{1}{3}\right)$
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