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`bara,barb` are position vectors of points A and B. If P divides AB in the ratio `3:1` and Q is the mid-point of AP, then position vectors of Q will be

A

`1/2(bara-barb)`

B

`1/2(bara+barb)`

C

`1/8(5bara+3barb)`

D

`1/8(5bara-3barb)`

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The correct Answer is:
C
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TARGET PUBLICATION-VECTORS-Critical Thinking
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  3. bara,barb are position vectors of points A and B. If P divides AB in t...

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  4. If 2bara+barb=3barc, then A divides BC in the ratio

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  11. If bara,barb,barc are non-zero, non collinear vectors, then the vector...

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  13. For any three vectors bara,barb and barc,(bara-barb)[(barb+barc)xx(bar...

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  16. The volume of parallelopiped with vector bara+2barb-barc,bara-barb and...

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  18. If the volumes of tetrahearon where vertices (1,2,0),(2,0,4),(-1,2,0) ...

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  19. If D is the mid -point of side AB of DeltaABC, then bar(AB) + bar(BC)...

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