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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

`7bara-15barb`

B

`7bara+15barb`

C

`15bara-7barb`

D

`15bara+7barb`

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A
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TARGET PUBLICATION-VECTORS-Critical Thinking
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  2. If bara+barb+barc=lambdabard and barb+barc+bard=mubara and bara,barb,b...

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  3. A and B are two points. The position vector of A is 6b-2a. A point P ...

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  5. If bar(OA)=overset(^)i+3overset(^)j-2overset(^)k and bar(OB)=3overset(...

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  6. bara,barb are position vectors of points A and B. If P divides AB in t...

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

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  8. In DeltaABC, P is the mid point of BC,Q divides CA internally in the r...

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  9. If overset(to)(a) =hat(i) - hat(k) , overset(to)(b) = x hat(i) + ...

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  10. If the points (1,1,2),(2,1,p),(1,0,3) and (2,2,0) are co-planar then ...

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  11. If the points A, B, C and D with position vectors overset(^)i+overset(...

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  12. If aoverset(^)i+overset(^)j+overset(^)k,overset(^)i-boverset(^)j+overs...

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  13. If the given vectors (-bc,b^2+bc,c^2+bc)(a^2+ac,-ac,c^2+ac) and (a^2+a...

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

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  15. Given vectors bara,barb,barc such that bara.(barbxxbarc)=lambda!=0 the...

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

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  18. If bar r=l(bar b xx bar c)+m(bar c xx bar a)+n(bar a xx bar b) and [...

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

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  20. If the volume of parallelopiped with coterminus edges -poverset(^)i+5k...

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