If $\vec{a}$ and $\vec{b}$ are the position vectors $(P.V.)$ of two points $A$ and $B$ respectively,and $C$ divides the line segment $AB$ in the ratio $2 : 1$,then the position vector of $C$ is:
- A$\frac{\vec{a} + 2\vec{b}}{3}$
- B$\frac{2\vec{a} + \vec{b}}{3}$
- C$\frac{\vec{a} + 2\vec{b}}{2}$
- D$\frac{\vec{a} + \vec{b}}{2}$
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