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If `veca`,`vecb`,`vecc` are non-coplanar vectors and `lambda` is a real number then [`lambda(veca+vecb)` `lambda^2vecb` `lambdavecc`] = [`veca` `vecb+vecc` `vecb`] for: a. exactly two values of `lambda` b. exactly three values of `lambda` c. no value of `lambda` d. exactly one values of `lambda`

A

exactly two values of `lamda`

B

exactly three values `lambda`

C

no value of `lambda`

D

exactly one value of `lambda`

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The correct Answer is:
C
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

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  2. If the vectors veca=hati-hatj+2hatk.vecb=2hati+4hatj+hatk and veccc=la...

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  3. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

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  4. The vector vec a=""alpha hat i+2 hat j+""beta hat k lies in the pl...

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  5. If vecu and vecv are unit vectors and theta is the acute angle bet...

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  6. Let bar a= hat i+ hat j+ hat k ,""b= hat i- hat j+2 hat k and bar...

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  7. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc), Where veca, vecb and vecc a...

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  8. The values of a for which the points A, B, and C with position vectors...

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  9. The distance between the line r=2hat(i)-2hat(j)+3hat(k)+lambda(hat(i)-...

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  10. If veca is any vector, then (vec a xx vec i)^2+(vec a xx vecj)^2+(ve...

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  11. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

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  12. If vec(a)=ht(i)-hat(k), vec(b)=xhat(i)+hat(j)+(1-x)hat(k) vec(c)=yha...

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  13. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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  14. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

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  15. A particle acted by constant forces 4 hat i+ hat j-3 hat ka n d3 ha...

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  16. If bar u,bar v,bar w are three non coplanar vectors then (bar u+bar ...

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  17. a, b, c are three vectors, such that a+b+c=0 |a|=1, |b|=2, |c|=3, then...

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  18. A tetrahedron has vertices O(0,0,0),A(1,2,1),B(2,1,3),a n dC(-1,1,2), ...

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  19. Let hat u= hat i+ hat j , hat v= hat i- hat ja n d hat w= hat i+2 hat...

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  20. Given, two vectors are hat(i)-hat(j) and hat(i)+2hat(j), the unit vect...

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