Home
Class 12
MATHS
The vector vec(a) lies in the plane of ...

The vector `vec(a) ` lies in the plane of vectors `vec(b) and vec(c)`. Which one of the following is correct ?

A

`a.(bxxc) rArr 0`

B

`a.b xx c =1`

C

`a.b xx c =-1`

D

`a.b xx c =3`

Text Solution

Verified by Experts

The correct Answer is:
A
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 the vector vec(a) lies in the planar of vectors vec(b) and vec(c ) , then which one of the following is correct?

Let vec(a).vec(b) and vec(c ) be three mutually perpendicular vectors each of unit magnitude. If vec(A) = vec(a) + vec(b) + vec(c ),  vec(B) = vec(a)- vec(b) + vec(c ) and vec(C ) = vec(a) - vec(b) - vec(c ) , then which one of the following is correct?

If vec(A) and vec(B) are two vectors, which of the following is not correct?

If vec(a)xx vec(b) = vec(c) and vec(b) xx vec(c) = vec(a) , then which one of the following is correct?

If vec(a) and vec(b) are two vectors such that vec(a).vec(b) = 0 and vec(a) xx vec(b) = 0 , then which one of the following is correct?

Let vec a,vec b,vec c be unit vectors such that vec a+vec b+vec c=vec 0 .Which of the following is correct?

Let vec(a) and vec(b) be the position vectors of A and B respectively. If C is the point 3 vec(a)-2vec(b) , then which one of the following is correct?

Let vec(a) and vec(b) be the position vectors of A and B respectively. If C is the point 3 vec(a) - 2vec(b) , then which one of the following is correct?

Let vec(a), vec(b) and vec(c) be three mutually perpendicular vectors each of unit magnitud. If vec(A)=vec(a)+vec(b)+vec(c), vec(B)=vec(a)-vec(b)+vec(c) and vec(C)=vec(a)-vec(b)-vec(c) , then which one of the following is correct?

Let three vectors vec(a), vec(b) and vec(c ) be such that vec(a) xx vec(b) = vec(c), vec(b) xx vec(c) = vec(a) and |vec(a)| = 2 . Then which one of the following is not true ?

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. If veca , vecb , vec c are any three coplanar unit vectors , then :

    Text Solution

    |

  2. If veca, vecb, vecc are three non-coplanar mutually perpendicular unit...

    Text Solution

    |

  3. The vector vec(a) lies in the plane of vectors vec(b) and vec(c). Whi...

    Text Solution

    |

  4. If a = i-j+k,b=i-2j-k and c=3i+pj+5k are coplanar, then p =

    Text Solution

    |

  5. If l( b xx c) + m(c xxa) + n(a xx b) = 0 and at least one of l, m, n i...

    Text Solution

    |

  6. The vectors (x,x+1,x+2),(x+3,x+3,x+5) and (x+6,x+7,x+8) are coplanar f...

    Text Solution

    |

  7. If the vectors, a,b,c are coplanar, then

    Text Solution

    |

  8. Let veca = 2i + j+k, vecb = i+ 2j -k and a unit vector vecc be coplana...

    Text Solution

    |

  9. IF (sec^2A)hati+hatj+hatk, hati+(sec^2 B)hatj+hatk and hati+hatj+(sec^...

    Text Solution

    |

  10. A unit vector coplanar with i+j+2k and i+2j+k and perpendicular to i+j...

    Text Solution

    |

  11. The vector r = a xx(b xxc) is

    Text Solution

    |

  12. Given, two vectors are hati - hatj and hati + 2hatj, the unit vector c...

    Text Solution

    |

  13. The unit vector which is orthogonal to a =3i+2j+6k and coplanar with b...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |