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If veca and vecb are two unit vectors su...

If `veca` and `vecb` are two unit vectors such that `veca+2vecb` and `5veca-4vecb` are perpendicular to each other, then the angle between `veca` and `vecb` is

A

`pi//2`

B

`pi//3`

C

`pi//4`

D

`pi//6`

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-VECTOR ALGEBRA-SOLVED EXAMPLES (Level-1 Single Correct Answer Type Questions)
  1. If a, b and c are unit vectors then abs(a-b)^(2)+abs(b-c)^(2)+abs(c-a)...

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  2. Find the value of a so that the volume of the parallelepiped formed...

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  3. If a=i-j-k,a*b=1" and "a times b=-j+k, then k is equal to

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  4. The unit vector which is orthogonal to the vector 5i+2j+6k and is copl...

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  5. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

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  6. If abs(a)=1, abs(b)=2" and "abs(a-2b)=4" then "abs(a+3b) is equal to

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  7. If abs(a)^(2)=8" and "a times (i+j+2k)=0 then the value of a*(-i+j+4k)...

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  8. If a, b, c are unit vectors, then the maximum value of abs(a+2b)^(2)+a...

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  9. Let veca=2hati+hatj-2hatk, vecb=hati+hatj. If vecc is a vector such th...

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  10. The non-zero vectors are vec a,vec b and vec c are related by vec a= ...

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

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  12. vectors veca=i-j+2k , vecb=2i+4j+k and vecc=lambdai+j+muk are mutually...

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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 a=1/sqrt(10)(3i+k)" and "b=1/7(2i+3j-6k), then the value of (2a-b)....

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

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  16. If the vectors pi + j + k, i + qj + k and i + j + rk, where pneqnerne1...

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  17. Let a,b and c be three non-zero vectors which are pairwise non-colline...

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  18. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

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

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

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