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If the position vectors of the points `A,B,C` are `bara,barb and 3bara-2barb` respectively, then the position `A,B,C` are

A

Collinear

B

Non-collinear

C

Forming a right angled triangle

D

None of these

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The correct Answer is:
A
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TARGET PUBLICATION-VECTORS-Competitive Thinking
  1. The points with position vectors 20overset(^)i+poverset(^)j,5overset(^...

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  2. If the points P(bara+2barb+barc).Q(2bara+3barb) and R(barb+tbarc) are ...

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  3. If the position vectors of the points A,B,C are bara,barb and 3bara-2b...

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  4. If bara,barb,barc are three non-zero vectors which are pairwise non-co...

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  5. If the vectors 3overset(^)i+2overset(^)j-overset(^)k and 6overset(^)i-...

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  6. If the vectors 3overset(^)i+overset(^)j-5overset(^)k and aoverset(^)i+...

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  7. If bara,barb are non-collinear vectors and x,y are scalars such that x...

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  8. If bara,barb,barc are non-collinear vectors such that for some scalar ...

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

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

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

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

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

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

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

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

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

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

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

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

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