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Find the position vectors of the points ...

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

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

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