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For vectors overline(a) and overline(b) ...

For vectors `overline(a) and overline(b) and overline(a)+overline(b)ne=0 and overline(c)` is a non-zero vector, then `(overline(a)+overline(b))times(overline(c)-(overline(a)+overline(b)))=`

A

`overline(a)+overline(b)`

B

`(overline(a)+overline(b))timesoverline(c)`

C

`lambdaoverline(c)` where is non-zero scalar

D

`lambda(overline(a)+overline(b)), lambdane0` is a scalar

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The correct Answer is:
B
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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)]]=

If overline(a), overline(b) and overline(c) are three non-coplanar vectors, then [[overline(a)+overline(b)+overline(c), overline(a)-overline(c), overline(a)-overline(b)]]=

If 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)]]) , where overline(a), overline(b), overline(c) are three non-coplanar vectors, then (overline(a)-overline(b)-overline(c))*overline(p)-(overline(b)-overline(c)-overline(a))*overline(q)-(overline(c)-overline(a)-overline(b))*overline(r)=

If 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)]]) , where overline(a), overline(b), overline(c) are three non-coplanar vectors, then (overline(a)+overline(b)+overline(c))*(overline(p)+overline(q)+overline(r))=

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overline(a)*((overline(a)+overline(b)+overline(c))times(overline(b)+overline(c)))=

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

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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If overline(u), overline(v), overline(w) are three non-coplanar vector...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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