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The unit vector which is orthogonal to t...

The unit vector which is orthogonal to the vector `3hati+2hatj+6hatk` and is coplanar with the vectors `2hati+hatj+hatk` and `hati-hatj+hatk` is (A) `(2hati-6hatj+hatk)/sqrt(41)` (B) `(2hati-3hatj)/sqrt(3)` (C) `3hatj-hatk)/sqrt(10)` (D) `(4hati+3hatj-3hatk)/sqrt(34)`

A

`(2hati-6hatj+hatk)/(sqrt(41))`

B

`(2hati-3hatj)/(sqrt(13))`

C

`(3hatj-hatk)/(sqrt(10))`

D

`(4hati+3hatj-3hatk)/(sqrt(34))`.

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)
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  2. If vec a , vec b and vec c are three non-zero, non coplanar vecto...

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

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

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

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  6. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

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

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  8. Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...

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

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  10. Let hata and hatb be two unit vectors. If the vectors vecc=hata+2hatb ...

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  11. Let ABCD be a parallelogram such that vec AB = vec q,vec AD = vec p a...

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  12. 1/sqrt(10)(3hatj + hatk) and vecb =(2hati +3hatj-6hatk), then the valu...

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  13. The vectors a and b are not perpendicular and c and d are two vectors ...

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

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

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

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

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

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

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

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