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If a, b, c are three unit vectors such t...

If a, b, c are three unit vectors such that ` a xx (b xx c) = (1)/(2)b` then the angles which a makes with b and c ( b and c being non-parallel)

A

`30^(@), 60^(@)`

B

`60^(@),90^(@)`

C

`90^(@), 60^(@)`

D

none

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The correct Answer is:
C
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. The unit vector which is orthogonal to a =3i+2j+6k and coplanar with b...

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  2. If a = (-1,1,1) and b = (2,0,1) then the vector r satisfying the condi...

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  3. If a, b, c are three unit vectors such that a xx (b xx c) = (1)/(2)b ...

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  4. If vec a , vec ba n d vec c are non-coplanar unit vectors such tha...

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  5. If a is perpendicular to b and c, then

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  6. If a vector veca is expressed as the sum of two vectors vec(alpha) and...

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  7. u = a xx (b xx c) + b xx ( c xx a) + c xx ( a xx b) , then

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  8. If u = i xx (a xx i), + j xx (a xx j) + k xx(a xx k), then

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  9. If a = i+j+k and b=i-j then the vectors (a.i)i+(a.j)j+(a.k)k, (b...

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  10. [abi]i+[abj]j+[abk]k is a equal to

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  11. The vector hati xx [(axxb) xx hati] + hatj xx [(axxb)xxhatj ] + hat...

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  12. If a xx b = c, b xx c= a and a,b,c be moduli of the vector a, b,c res...

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  13. Vector (b xx c) xx (c xx a) is a vector

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  14. If (a xx b) xx c = a xx (bxx c), then

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  15. If (veca xx vecb) xx vecc = vec a xx (vecb xx vecc), where veca, vecb ...

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  16. [a " " b " " axx b] is equal to

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  17. a xx [ a xx (a xx b)] equals

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  18. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

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  19. If |a|=2a n d|b|=3 and adotb=0,t h e n(axx(axx(axx(axxb)))) is equal t...

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  20. [a " " b " "axxb] +[a.b]^(2) =

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