Q 1470191916.     Find the position vector of a point `R` which divides the line joining two points `P` and `Q` whose position vectors are `(2vec a + vec b)` and `(vec a - 3vec b) ` externally in the ratio `1 :2`. Also, show that `P` is the mid point of the line segment `RQ`

A

`3vec a+5vec b`

B

`3vec a-5vec b`

C

`5vec a+3vec b`

D

`vec a+5vec b`

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