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

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

A

`45^(@)`

B

`60^(@)`

C

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

D

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

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Verified by Experts

The correct Answer is:
B
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MODERN PUBLICATION-VECTOR ALGEBRA -Multiple Choice Question (Level-II)
  1. If veca = 3 hati - 5 hatj and vecb = 6 hati + 3 hatj are two vectors ...

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  2. Let vecv = 2hati + 2hatj - hatk and vecw = hati + 3hatk. If vecu is a ...

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

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  4. If vecu, vecv and vecw are three non-coplanar vectors, then : (vecu ...

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  5. Let vecu = hati+ hatj, vecv = hati - hatj and vecw= hati + 2 hatj + 3 ...

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  6. Let veca, vecb and vecc be three non-zero vectors such that no two of ...

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  7. Let veca, vecb, and vecc be three non-zero vectors such that no two of...

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  8. If veca = (hati +hat j + hatk), veca.vecb=1 and veca xx vecb=hatj-hatk...

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  9. If veca, vecb, cecc are non-coplanar vectors and lamda is a real numbe...

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  10. If hatu and hatv are unit vactors and theta is the angle between them,...

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  11. Let veca = hat i + hatj + hatk, vecb = hati + 2 hatk and vecc = x hati...

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  12. The vector veca = alpha hati + 2 hatj + beta hatk lies in the plance o...

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  13. The non-zero vectors veca, vecb and vecc are related by veca = 8 vecb ...

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  14. Let the vectors veca, vecb, vecc and vecd be such that (veca xx vecb) ...

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  15. The unit vector which is orthgonal to the vector veca=3hati+2hatj+6hat...

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  16. If veca, vecb, vecc are three non-zero, non-coplanar vectors and vec...

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  17. Let veca = hati + hatj + hatk, vecb = hati - ahtj + hatk and hati - ha...

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  18. The number of distinct real values of lamda, for which the vectors : ...

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  19. Let veca, vecb, vecc be unit vectors such that veca + vecb + vecc = v...

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  20. The edges of a parallelopiped are of unit length and are parallel to n...

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