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If overline(a), overline(b), overline(c)...

If `overline(a), overline(b), overline(c)` are linearly independent, the `([[2overline(a)+overline(b), 2overline(b)+overline(c), 2overline(c)+overline(a)]])/([[overline(a), overline(b), overline(c)]])=`

A

`9`

B

`8`

C

`7`

D

`3`

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The correct Answer is:
A
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[[overline(a)-overline(b), overline(b)-overline(c), overline(c)-overline(a)]]=

[[overline(a)+overline(b), overline(b)+overline(c), overline(c)+overline(a)]]=

[[overline(a), overline(b)+overline(c), overline(c)+overline(b)+overline(a)]]=

If overline(a), overline(b) and overline(c) are unit coplanar vectors, then [[2overline(a)-overline(b), 2overline(b)-overline(c), 2overline(c)-overline(a)]]=

If overline(c)=3overline(a)-2overline(b) , then [[overline(a), overline(b), overline(c)]]=

[[overline(a), overline(b), overline(a)timesoverline(b)]]=

If four points A(overline(a)), B(overline(b)), C(overline(c)) and D(overline(d)) are coplanar, then [[overline(a), overline(b), overline(d)]]+[[overline(b), overline(c), overline(d)]]+[[overline(c), overline(a), overline(d)]]=

|[overline(a)*overline(a), overline(a)*overline(b)], [overline(a)*overline(b), overline(b)*overline(b)]|=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If overline(a), overline(b) and overline(c) are non-coplanar and (over...

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  2. If overline(a), overline(b) and overline(c) are unit vectors perpendic...

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  3. The value of [[overline(a)-overline(b), overline(b)-overline(c), overl...

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  4. If |overline(a)|=5, |overline(b)|=3, |overline(c)|=4 and |overline(a)|...

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  5. If overline(a) is perpendicular to overline(b) and overline(c), |overl...

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  6. If |overline(c)|=1 and overline(c) is perpedicular to overline(a) and ...

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  7. If overline(a)=hat(i)-hat(j), overline(b)=hat(j)-hat(k), overline(c)=h...

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  8. If overline(b)=2hat(i)+hat(j)-hat(k), overline(c)=hat(i)+3hat(k) and o...

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  9. If overline(a), overline(b), overline(c) are linearly independent, the...

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  10. If overline(A),overline(B), overline(C) are three non-coplanar vector,...

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  11. If overline(a), overline(b), overline(c) are non-coplanar vectors and ...

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  12. If overline(a), overline(b), overline(c) are non-coplanar vectors and ...

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  13. If overline(b) and overline(c) are any two perpendicular unit vectors ...

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  14. If overline(a),overline(b), overline(c) are three non-coplanar vectors...

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  15. If overline(a),overline(b), overline(c) are three non-coplanar vectors...

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  16. If overline(p)=(overline(b)timesoverline(c))/([[overline(a), overline(...

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  17. If overline(p)=(overline(b)timesoverline(c))/([[overline(a), overline(...

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  18. If overline(a), overline(b), overline(c) are three non-coplanar vector...

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  19. If z1 and z2 are z co-ordinates of the point of trisection of the segm...

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

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