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If vec a=( hat i+ hat j+ hat k), vec a....

If ` vec a=( hat i+ hat j+ hat k), vec a. vec b=1a n d vec axx vec b= hat j- hat k` ,then `hat b` is
a. ` hat i- hat j+ hat k` b. `2 hat j- hat k` c. ` hat i` d. `2 hat i`

A

`hat(i)-hat(j)+hat(k)`

B

`2hat(j)-hat(k)`

C

`hat(i)`

D

`2hat(i)`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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