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Let hata and hatb be two unit vectors. I...

Let `hata and hatb` be two unit vectors. If the vectors `vecc=hata+2hatb and vecd=5hata-4hatb` are perpendicular to each other then the angle between `hata and hatb` is (A) `pi/2` (B) `pi/3` (C) `pi/4` (D) `pi/6`

A

`pi/6`

B

`pi/2`

C

`pi/3`

D

`pi/4`

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

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

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

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

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  5. 1/sqrt(10)(3hatj + hatk) and vecb =(2hati +3hatj-6hatk), then the valu...

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

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

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

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

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

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

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

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

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

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  15. The values of a for which the points A, B, and C with position vectors...

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

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  17. If veca is any vector, then (vec a xx vec i)^2+(vec a xx vecj)^2+(ve...

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  18. If veca,vecb,vecc are non-coplanar vectors and lambda is a real number...

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  19. If vec(a)=ht(i)-hat(k), vec(b)=xhat(i)+hat(j)+(1-x)hat(k) vec(c)=yha...

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  20. Let vec u , vec va n d vec w be such that | vec u|=1,| vec v|=2a n d|...

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