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If [[3overline(a)+5overline(b), overline...

If `[[3overline(a)+5overline(b), overline(c), overline(d)]]=p[[overline(a), overline(c), overline(d)]]+q[[overline(b), overline(c), overline(d)]]`, then `p+q=`

A

`8`

B

`-8`

C

`2`

D

`0`

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The correct Answer is:
A
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If [[2overline(a)+overline(b), overline(c), overline(d)]]=lambda[[overline(a), overline(c), overline(d)]]+mu[[overline(b), overline(c), overline(d)]], then lambda+mu= ________

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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)]]=

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If overline(a),overline(b), overline(c) are three non-coplanar vectors and overline(p), overline(q), overline(r) are vectors defined by the relations overline(p)=(overline(b)timesoverline(c))/([[overline(a), overline(b), overline(c)]]), overline(q)=(overline(c)timesoverline(a))/([[overline(a), overline(b), overline(c)]]), overline(r)=(overline(a)timesoverline(b))/([[overline(a), overline(b), overline(c)]]) , then (overline(a)+overline(b))*overline(p)+(overline(b)+overline(c))*overline(q)+(overline(c)+overline(a))*overline(r)=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If [[overline(a), overline(b), overline(c)]]=12, then [[overline(a)+ov...

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

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  3. If [[3overline(a)+5overline(b), overline(c), overline(d)]]=p[[overline...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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