A and B are two points. The position vector of A is \[6\mathbf{b}-2\mathbf{a}.\] A point P divides the line AB in the ratio 1 : 2. If \[\mathbf{a}-\mathbf{b}\] is the position vector of P, then the position vector of B is given by [MP PET 1993]

A and B are two points. The position vector of A is \[6\mathbf{b}-2\ma

1.	A and B are two points. The position vector of A is \[6\mathbf{b}-2\mathbf{a}.\] A point P divides the line AB in the ratio 1 : 2. If \[\mathbf{a}-\mathbf{b}\] is the position vector of P, then the position vector of B is given by [MP PET 1993]
A.	\[7\mathbf{a}-15\mathbf{b}\]
B.	\[7\mathbf{a}+15\mathbf{b}\]
C.	\[2\pi /3\]
D.	\[15\mathbf{a}+7\mathbf{b}\]
Answer» B. \[7\mathbf{a}+15\mathbf{b}\]

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A and B are two points. The position vector of A is \[6\mathbf{b}-2\mathbf{a}.\] A point P divides the line AB in the ratio 1 : 2. If \[\mathbf{a}-\mathbf{b}\] is the position vector of P, then the position vector of B is given by [MP PET 1993]

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