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The points with position vectors overlin...

The points with position vectors `overline(a)+overline(b), overline(a)-overline(b) and overline(a)+koverline(b)` are collinear for

A

all real values of k

B

all positive values of k

C

all negative values of k

D

`k=pm1`

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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)]]=

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=

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

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

The volume of paralleloP1ped with vector overline(a)+2overline(b)+overline(c), overline(a)-overline(b) and overline(a)-overline(b)-overline(c) is equal to k[[overline(a), overline(b), overline(c)]] . Then k=

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

Value of ((overline(a)+overline(b)+overline(c))times(overline(b)-overline(a)))*overline(c) is

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

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If the points A(3,0,p),B(-1,q,3) and C(-3,3,0) are collinear, then fin...

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  2. If the points with position vectors 60 hat i+2 hat j , 40 hat i-8 hat ...

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  3. The points with position vectors overline(a)+overline(b), overline(a)-...

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  4. If the position vectors of the points A,B and C be a,b and 3a-2b respe...

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  5. If position vectors of four points A, B, C, D are hat(i)+hat(j)+hat(k)...

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  6. If overline(a)=hat(i)-2hat(j)+3hat(k), overline(b)=2hat(i)+3hat(j)-4ha...

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  7. If overline(a)=-hat(i)-hat(j)+2hat(k), overline(b)=3hat(i)+hat(j)-hat(...

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  8. If overline(a)=hat(i)-hat(j)-2hat(k), overline(b)=2hat(i)-hat(j)-hat(k...

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  9. If overline(a)=hat(i)+3hat(j), overline(b)=2hat(i)+5hat(j), overline(c...

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  10. If overline(a)=hat(i)+2hat(j), overline(b)=-2hat(i)+hat(j), overline(c...

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  11. If overline(a)=2hat(i)-hat(j)+3hat(k), overline(b)=hat(i)-2hat(j)+4hat...

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  12. If overline(a)=2hat(i)+hat(j)-4hat(k), overline(b)=2hat(i)-hat(j)+3hat...

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  13. If overline(a)=2hat(i)-hat(j)+hat(k), overline(b)=hat(i)+3hat(j)-2hat(...

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

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

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  16. If overline(a), overline(b), overline(c) are non-coplanar and the vect...

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  17. If overline(a), overline(b), overline(c) are non-coplanar and the vect...

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  18. If bar(p)=hat(i)-2hat(j)+hat(k)andbar(q)=hat(i)+4hat(j)-2hat(k) are po...

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  19. If bar(p)=hat(i)-2hat(j)+hat(k)andbar(q)=hat(i)+4hat(j)-2hat(k) are po...

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  20. If overline(a)=2hat(i)-hat(j)+5hat(k), overline(b)=-3hat(i)+2hat(j) ar...

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