Find the position vector of a point $R$which divides the line joining two points $P$and $Q$whose position vectors are $\left(2\vec{a}+\vec{b}\right)$and ($\vec{a}-3\vec{b})$respectively, externally in the ratio 1:2.Also, show that $P$is the mid-point of the line segment $RQ\dot{}$

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