If $P$ divides the line segment joining the points $A$ and $B$ in the ratio $2:1$ and the position vectors of $A$ and $B$ are $\hat{i}-2\hat{j}$ and $-3\hat{i}+5\hat{j}$ respectively,then the position vector of $P$ is
- A$\frac{5\hat{i}-8\hat{j}}{3}$
- B$\frac{-5\hat{i}+8\hat{j}}{3}$
- C$\frac{5\hat{i}+8\hat{j}}{3}$
- D$\frac{-5\hat{i}-8\hat{j}}{3}$
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