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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)/(3))`

D

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

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The correct Answer is:
B
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. Let vec aa n d vec b be two non-collinear unit vector. If vec u= vec...

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  2. If \ vec a\ a n d\ vec b are two unit vectors inclined at an angle t...

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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. The vector a + 3b is perpendicular to 7a-5b and a-5b is perpendicular ...

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  5. Four points with position vectors 7i-4j+7k, i -6j+10k,-i-3j+4k and 5i-...

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  6. a, b, c, d are the vertices of a square, then

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  7. ai + 3j + 4k and sqrt(b) i+5k are two vectors, where a, b gt 0 are tw...

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  8. A parallelogram is constructed on the vectors r(1) = 3a-b, r(2) = a + ...

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  9. The vectors a =3i-2j+2k and b =-i-2k are adjacement sides of a parall...

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  10. The length of longer diagonal of the parallelogram constructed on 5...

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  11. OABC is a parallelogram such that OA = a, OB = b and OC =c, then the v...

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  12. Find the length of perpendicular from the piont A(1,4,-2) to the line ...

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  13. Let the points P, Q and R have position vectors r(1) = 3i-2j-k r(2...

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  14. Given the vectors a=3i-j+5k" and "b=i+2j-3k. A vector c which is perp...

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  15. IF veca, vecb, vecc are the position vectors of the vertices of an equ...

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  16. If a, b, c, d are the position vectors of points A, B, C and D respec...

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  17. The position vectors of four points A, B, C, D lying in a plane are a,...

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  18. Area of parallelogram whose adjacent sides of a = i +2j+3k, b = 3i-2j...

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  19. The vector A = 3i-k, b=i+2j are adjacent sides of a parallelogram . It...

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  20. The area of a parallelogram having diagonals a=3i+j-2k" and "b=i-3j+4k...

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