Find the position vector of the point wh...

Find the position vector of the point which divides the join of the points `(2veca - 3vecb)` and `(3veca - 2vecb)` (i) internally and (ii) externally in the ratio `2 : 3` .

`(12)/(5)a+(13)/(5)b`

`(12)/(5)a-(13)/(5)b`

`(3)/(5)a-(2)/(5)b`

none of these

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The correct Answer is:

Position vectors of the points which divides internally is
`(3(2a-3b)+2(3a-2b))/(5)=(12a-13b)/(5)`

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