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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

`45^(@)`

B

`60^(@)`

C

`cos^(-1)(1//sqrt(3))`

D

`cos^(-1)(2//7)`

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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 vec a , vec ba n d vec c are unit coplanar vectors, then the sc...

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  2. If the vectors vec a , vec b ,a n d vec c form the sidesB C ,C Aa n d...

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

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  4. Let barV = 2i + j - k and barW = i + 3k If barU is a unit vector, th...

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  5. A vector c perpendicular to the vectors 2i+3j-k" and "i-2j+3k satisfyi...

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  6. If a, b, c be three units vectors such that a xx (b xx c)=(1/2) b ;...

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  7. If a vector ofmagnitude 50 is collinear with vector vecb = 6 hat i - 8...

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  8. IfA, B are two points on the curve y = x^2 in the xoy plane satisfying...

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  9. If A, B, C, D are four points in space satisfying bar(AB).bar(CD)=K ...

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  10. The distance of the point B with position vector i+2j+3k from the line...

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  11. If a, b and c are unit vectors then abs(a-b)^(2)+abs(b-c)^(2)+abs(c-a)...

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

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

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

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

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

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

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

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

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