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The position vectors of the point which ...

The position vectors of the point which divides internally in the ratio `2:3` the join of the points `2bara-3barb and 3bara-2barb`, is

A

`(12)/(5)bara+(13)/(5)barb`

B

`12/5bara-13/5barb`

C

`3/5bara-2/5barb`

D

`2/5bara=3/5barb`

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The correct Answer is:
B
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TARGET PUBLICATION-VECTORS-Competitive Thinking
  1. veca and vecb are two non collinear vectors then xveca+yvecb (where x ...

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  2. If bara=overset(^)i+overset(^)j-2overset(^)k,barb=2overset(^)i-overset...

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  3. The position vectors of the point which divides internally in the rati...

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  4. Let A(1,-1,2) and B(2,3-1) be two points. If a point P divides AB inte...

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  5. If z1 and z2 are z co-ordinates of the point of trisection of the seg...

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  6. If the position vector of a point A is vec a + 2 vec b and vec a divi...

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  7. Assertion (A): If (-1,3,2) and (5,3,2) are respectively the orthocentr...

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  8. If the orthocentre and centroid of a triangle are (-3,5,2) and (3,3,4)...

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  9. L and M are two points with position vectors 2vec(a)-vec(b)andvec(a)+2...

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  10. The position vector of a point R which divides the line joining two po...

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  11. If 3barP+2barR-5barQ=bar0, then

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  12. If three points A,B,C are collinear, whose position vectors are overse...

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  13. Let square PQRS be a quadrilateral. If M and N are the mid-points of t...

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  14. In DeltaABC,L,M,N are points on BC,CA,AB respectively, dividing them i...

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  15. Let G be the centroid of a triangle ABC and O be any other point, then...

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  16. If A, B, C are the vertices of a triangle whose position vectros are v...

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  17. If bara=2overset(^)i+overset(^)j-overset(^)k,barb=overset(^)i+2overset...

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  18. If bara=overset(^)i+overset(^)j+overset(^)k,barb=2overset(^)i+lambdaov...

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  19. If bara is perpendicular to barb and barc,|bara|=2,|barb|=3,|barc|=4 ...

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  20. If bara,barb,barc are mutually prependicular vectors having megnitudes...

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