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Let v=2hat(i)+hat(j)-hat(k) and w=hat(i)...

Let `v=2hat(i)+hat(j)-hat(k) and w=hat(i)+3hat(k). ` If `hat(u)` is unit vector and the maximum value of `[u v w]=sqrt(lambda)`, then the value of `(lambda-51)` is

A

`-1`

B

`sqrt(10)+sqrt(6)`

C

`sqrt(59)`

D

`sqrt(60)`

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. The value of a so that the volume of parallelepiped formed by hat i...

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  2. If vec a=( hat i+ hat j+ hat k), vec a. vec b=1a n d vec axx vec b= h...

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  3. Let v=2hat(i)+hat(j)-hat(k) and w=hat(i)+3hat(k). If hat(u) is unit v...

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  4. If veca and vecb are two unit vectors such that veca + 2vecb and 5 vec...

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  5. Let a= 2hat(i) +hat(j) -2hat(k) , b=hat(i) +hat(j) and c be a vecto...

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  6. If [axxb bxxc c xxa]=lambda[abc]^(2), then lambda is equal to

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  7. If a and b1 are two unit vectors such that a+2b and 5a-4b are perpendi...

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  8. Let ABCD be a parallelogram such that vec A B= vec q , vec A D= vec p...

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  9. veca =1/sqrt(10)(3hati + hatk) and vecb =1/7(2hati +3hatj-6hatk), then...

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  10. The vectors vec a and vec b are not perpendicular and vec c and v...

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  11. If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+ha...

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  12. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

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

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

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

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

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

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

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  19. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

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

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