Find the position vectors of the points which divide the join of the points `2 vec a-3 vec ba n d3 vec a-2 vec b` internally and externally in the ratio `2:3` .

Explanation

First find the ratio of division internally and externally

(i) Internally

Position of vector R
`=(2OQ+3OP)/(2+3)`

`=(2(3a−2b)+3(2a−3b))/5​`

`=(6a−4b+6a−9b)/5`

`=(12a−13b)/5`

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