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If `overline(a), overline(b), overline(c)` are non-coplanar vectors and the points with position vectors `2overline(a)+2overline(b), overline(a)+lambdaoverline(b)+overline(c) and 4overline(a)+4overline(b)-5overline(c)` are coplanar, then `lambda=`

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The correct Answer is:
`lambda=`1
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The points with position vectors overline(a)+overline(b), overline(a)-overline(b) and overline(a)+koverline(b) are collinear for

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

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

If overline(a), overline(b), overline(c) are non-coplanar vectors and the vectors overline(p)=-overline(a)+3overline(b)-5overline(c), overline(q)= -overline(a)+overline(b)+overline(c) and overline(r)= 2overline(a)-3overline(b)+overline(c) are coplanar such that overline(p)=moverline(q)+noverline(r) , then

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

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

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

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

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

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

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

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  6. If overline(a), overline(b), overline(c) are non-coplanar vectors, the...

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  7. If l(overline(b)timesoverline(c))+m(overline(c)timesoverline(a))+n(ove...

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  8. The volume of the paralleloP1ped with co-terminous edges given by the ...

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  9. The volume of the paralleloP1ped with co-terminous edges given by the ...

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  10. The volume of the paralleloP1ped with co-terminous edges given by the ...

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  11. The volume of the paralleloP1ped with co-terminous edges given by the ...

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  12. The volume of the paralleloP1ped with co-terminous edges given by the ...

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  13. The volume of the paralleloP1ped with co-terminous edges overline(a)=2...

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  14. The volume of the paralleloP1ped whose co-terminous edges are overline...

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  15. If overline(AC)=3hat(i)+hat(j)-2hat(k), overline(DB)=hat(i)-3hat(j)-4h...

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  16. If A,B,C,D are (1,1,1), (2,1,3), (3,2,2),(3,3,4) respectively, then fi...

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  17. If A,B,C and D are {3,7,4),(5,-2,-3),(-4,5,6) and (1,2,3) respectively...

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  18. If A(4, 2, 1), B(2, 1, 0), C(3, 1, -1), D(1, -1, 2), then the volume o...

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  19. If [[overline(a), overline(b), overline(c)]]=2 then the volume of the ...

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  20. If [[overline(a), overline(b), overline(c)]]=4 then the volume of the ...

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