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A and B are two points. The position vec...

A and B are two points. The position vector of A is 6b-2a. A point P divides the line AB in the ratio 1:2. if a-b is the position vector of P, then the position vector of B is given by

A

7a-15b

B

7a+15b

C

15a-7b

D

15a+7b

Text Solution

Verified by Experts

The correct Answer is:
A
`OP=(1(OB)+2(6b-2a))/(1+2)`

`implies 3(a-b)=OB+12b-4a`
`implies OB=7a-15b`
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