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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 vectors `2hati + hatj + hatk and hati - hatj + hatk ` is (a) `(2hati - 6hatj + hatk)/sqrt41` (b) `(2hati-3hatj)/sqrt13` (c) `(3 hatj -hatk)/sqrt10` (d) `(4hati + 3hatj - 3hatk)/sqrt34`

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

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

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

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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 vec c=la...

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

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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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