Home
Class 12
MATHS
If (veca xx vecb) xx vecc = vec a xx (ve...

If `(veca xx vecb) xx vecc = vec a xx (vecb xx vecc)`, where `veca, vecb` and `vecc` are any three vectors such that `veca.vecb ne 0, vecb.vecc ne 0`, then `veca` and `vecc` are:

A

inclined at an angle of `pi//6`

B

perpendicular

C

parallel

D

inclined at an angle fo `pi//3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (TRUE AND FALSE) |3 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (3) (FILL IN THE BLANKS) |8 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

If (veca xx vecb) xx vecc = veca xx (vecb xx vecc) where veca, vecb and vecc are any three vectors such that veca.vecb =0, vecb.vecc=0 then veca and vecc are:

If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc) where veca, vecb and vecc are any three vectors such that veca.vecb!=0, vecb. vecc!=0 then veca and vecc are

if veca , vecb ,vecc are three vectors such that veca +vecb + vecc = vec0 then

If veca, vecb, vecc are vectors such that veca.vecb=0 and veca + vecb = vecc then:

If veca, vecb, vecc are any three vectors such that (veca+vecb).vecc=(veca-vecb)=vecc=0 then (vecaxxvecb)xxvecc is

if veca xx vecb = vecc.vecb xx vecc = veca , " where " vecc ne vec0 then

if veca xx vecb = vecc.vecb xx vecc = veca , " where " vecc ne vec0 then

If veca xx vecb = vecb xx vecc ne 0 where veca , vecb and vecc are coplanar vectors, then for some scalar k prove that veca+vecc = kbvecb .

If veca xx vecb = vecb xx vecc ne 0 where veca , vecb and vecc are coplanar vectors, then for some scalar k prove that veca+vecc = kvecb .

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. Vector (b xx c) xx (c xx a) is a vector

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. If a = 1,2,4, b =2,-3,-1, c=1,4-4, then the vector a xx(b xxc) is orth...

    Text Solution

    |

  10. The magnitudes of vectors vec a , vec b and vec c are respectively 1...

    Text Solution

    |

  11. For non-coplanar vectors a, b and c, abs((a times b)*c)=abs(a) abs(b) ...

    Text Solution

    |

  12. Let veca = 2i + j + k, and b = i+ j if c is a vector such that veca ....

    Text Solution

    |

  13. Let a =2i+j-2k and b=i+j. If c is a vector such that a.c = |c|,|c-a| =...

    Text Solution

    |

  14. Let the unit vectors a and b be perpendicular and the unit vector c be...

    Text Solution

    |

  15. The equation of the plane containing the line vecr= veca + k vecb and ...

    Text Solution

    |

  16. ( axxb) xx (a xxc ).d equals

    Text Solution

    |

  17. If a,b,c and d be four vectors, then (a xxb). (c xx d) + ( b xx c) . ...

    Text Solution

    |

  18. If the non-zero vectors a and b are perpendicular to each other, then ...

    Text Solution

    |

  19. Let veda,vecb,vecc be three noncolanar vectors and vecp,vecq,vecr are ...

    Text Solution

    |

  20. Let a,b,c be any threee non zero non-coplanar vectors, then any vecto...

    Text Solution

    |