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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)]]=`

A

`0`

B

`1`

C

`-sqrt(3)`

D

`sqrt(3)`

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The correct Answer is:
A
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If overline(a), overline(b), overline(c) are three non-coplanar vectors, then overline(a)*((overline(b)timesoverline(c))/(3[[overline(b), overline(c), overline(a)]]))-overline(b)*((overline(c)timesoverline(a))/(2[[overline(c), overline(a), overline(b)]]))=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. Which of the following is trues?

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  2. [[overline(a)-overline(b), overline(b)-overline(c), overline(c)-overli...

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  3. If overline(a), overline(b) and overline(c) are unit coplanar vectors,...

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  4. If overline(a), overline(b) and overline(c) are three non-coplanar vec...

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  5. [[overline(a)+overline(b), overline(b)+overline(c), overline(c)+overli...

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  6. [[overline(a), overline(b)+overline(c), overline(c)+overline(b)+overli...

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  7. overline(a)*((overline(a)+overline(b)+overline(c))times(overline(b)+ov...

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  8. Value of ((overline(a)+overline(b)+overline(c))times(overline(b)-overl...

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  9. If overline(a), overline(b) and overline(c) are three non-coplanar vec...

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  10. If overline(a), overline(b) and overline(c) are three non-coplanar vec...

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

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

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  13. If overline(a), overline(b) and overline(c) are three coplanar vectors...

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  14. If overline(u), overline(v), overline(w) are three non-coplanar vector...

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  15. If four points A(overline(a)), B(overline(b)), C(overline(c)) and D(ov...

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  16. For vectors overline(a) and overline(b) and overline(a)+overline(b)ne=...

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  17. If overline(a), overline(b), overline(c) are non-coplanar and m, n are...

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  18. The number of distinct real values of lambda, for which the vectors -l...

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  19. If [[overline(a), overline(b), overline(c)]]=12, then [[overline(a)+ov...

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  20. If [[2overline(a)+overline(b), overline(c), overline(d)]]=lambda[[over...

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