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

If `bara=overset(^)i+overset(^)j-2overset(^)k,barb=2overset(^)i-overset(^)j+overset(^)k and barc =3overset(^)i+overset(^)k and barc=mbara+nbarb` then ` m+n`

A

0

B

1

C

2

D

`-1`

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Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-VECTORS-Competitive Thinking
  1. If bara,barb,barc are non-collinear vectors such that for some scalar ...

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  2. veca and vecb are two non collinear vectors then xveca+yvecb (where x ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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