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If the position vector of a point A is `vec a + 2 vec b and vec a ` divides AB in the ratio `2:3`, then the position vector of B, is

A

`2a-b`

B

`b-2a`

C

`a-3b`

D

`b`

Text Solution

Verified by Experts

The correct Answer is:
C
If x is the position vector of B, then a divides AB in the ratio 2:3,
`thereforea=(2x+3(a+2b))/(2+3)`
`implies5a-3a-6b=2x`
`impliesx=a-3b`
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