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The value of a so that the volume of p...

The value of `a` so that the volume of parallelepiped formed by ` hat i+a hat j+ hat k , hat j+a hat k and a hat i+ hat k` is minimum is a.`-3` b. `3` c. `1//sqrt(3)` d. `sqrt(3)`

A

`-3`

B

`3`

C

`(1)/(sqrt(3`

D

`sqrt(3)`

Text Solution

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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. Find the 7th term of GP if the first term is 7 and common ratio is 2.

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  2. The unit vector which is orthogonal to the vector 3hati + 2hatj + 6hat...

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  3. The value of a so that the volume of parallelepiped formed by hat i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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