A point $C$ with position vector $\frac{3 \bar{a}+4 \bar{b}-5 \bar{c}}{3}$ (where $\bar{a}, \bar{b}$ and…
A point $C$ with position vector $\frac{3 \bar{a}+4 \bar{b}-5 \bar{c}}{3}$ (where $\bar{a}, \bar{b}$ and $\bar{c}$ are non coplanar vectors) divides the line joining $A$ and $B$ in the ratio $2: 1$. If the position vector of $A$ is $\bar{a}-2 \bar{b}+3 \bar{c}$, then the position vector of $B$ is