Home
Class 12
MATHS
If vec(a),vec(b) and vec(c) are unit vec...

If `vec(a),vec(b)` and `vec(c)` are unit vectors such that `vec(a)+vec(b)+vec(c)=0`, then `3vec(a).vec(b)+2vec(b).vec(c)+vec(c).vec(a)=`

A

3

B

minus 3

C

1

D

minus 1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

If vec(a), vec(b), vec(c ) are unit vectors such that vec(a) + vec(b) + vec(c )= vec(0), " then " vec(a).vec(b) + vec(b).vec(c ) + vec(c ).vec(a) =

If vec(a),vec(b),vec(c ) are unit vectors such that vec(a)+vec(b)+vec(c )=0 , then the value of vec(a).vec(b)+vec(b).vec(c )+vec(c ).vec(a) is equal to

If vec(a), vec(b)" and "vec(c) are three unit vectors such that vec(a)+vec(b)+vec(c)=vec(O) , find the value of vec(a).vec(b)+vec(b).vec(c)+vec(c).vec(a) .

If vec(a), vec(b) and vec(c ) are three unit vectors such that vec(a).vec(b) = vec(a).vec(c ) = 0 and angle between vec(b) and vec(c ) is (pi)/(6) , prove that vec(a) = +-2(vec(b) xx vec(c )) .

If vec a and vec b are unit vectors such that |vec a + vec b| =1, then |vec a - vec b| =

If vec(a), vec(b),vec(c ) are three vectors such that |vec(a)| = 5, |vec(b)| = 12 and |vec(c )| = 13 and vec(a) + vec(b) + vec(c ) = vec(0) , find the value of vec(a).vec(b) + vec(b).vec(c )+vec(c ).vec(a) .

If vec a and vec b are unit vectors such that |vec a xx vec b| = vec a . vec b , then |vec a + vec b|^(2) =

If vec(a) and vec(b) are two vectors such that |vec(a) + vec(b)| = |vec(a)| , then prove tat 2vec(a) + vec(b) is perpendicular to vec(b) .

If vec a, vec b, vec c are unit vectors such that vec a + vec b + vec c = vec 0 , then the value of vec a . vec b + vec b.vec c + vec c vec a is equal to

If [vec(a),vec(b),vec(c)] denotes the scalar triple product of the vectors vec(a),vec(b),vec(c) , then [vec(a)+vec(b),vec(b)+vec(c),vec(c)+vec(a)] is equal to

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If vec a + 2 vec b + 3 vec c = vec 0, then (vec a xx vec b)+ (vec b xx...

    Text Solution

    |

  2. If vec a, vec b, vec c non zero coplanar vectors, then, [2 vec a - vec...

    Text Solution

    |

  3. If vec(a),vec(b) and vec(c) are unit vectors such that vec(a)+vec(b)+v...

    Text Solution

    |

  4. If the points with position vectors 10 hati + 3 hatj, 12 hati- 5 hatj ...

    Text Solution

    |

  5. If 2hati+3hatj,hati+hatj+hatk and lambdahati+4hatj+2hatk taken in an o...

    Text Solution

    |

  6. If vec a, vec b and vec c are non coplanar then vec a . { (vec b xx ve...

    Text Solution

    |

  7. Angle between the vectors vec a and vec b, where vec a, vec b and vec ...

    Text Solution

    |

  8. Let vec a = 2i-j+k, vec b = i+2j-k and vec c = i+j-2k be three vector...

    Text Solution

    |

  9. The vector 1/3 (2i-2j+k) is

    Text Solution

    |

  10. If vec a, vec b and vec c are non coplanar unit vectors such that vec ...

    Text Solution

    |

  11. Let alpha, beta, gamma are distinct real numbers. The points with posi...

    Text Solution

    |

  12. A non-zero vector vec a is parallel to the line of intersection of the...

    Text Solution

    |

  13. The number of distinct real values of lambda for which the vectors -la...

    Text Solution

    |

  14. Let vec a, vec b, vec c be unit vectors such that vec a + vec b + vec ...

    Text Solution

    |

  15. Let vec a = i+2j+k, vec b = i-j+k, vec c = i+j-k. A vector coplanar to...

    Text Solution

    |

  16. Let vec u, vec nu and vec w vectors that vec u + vec nu + vec w = vec ...

    Text Solution

    |

  17. The values of 'a' for which the points A, B, C with position vectors 2...

    Text Solution

    |

  18. If the vector veca = hati + ahatj + a^(2) hatk , vecb = hati + b hatj ...

    Text Solution

    |

  19. If vec a, vec b, vec c are non-coplanar vectors and lambda is a real n...

    Text Solution

    |

  20. Let vec a = i +j + k, vec b = i-j+2k, vec c = x i+(x-2)j-k. If the vec...

    Text Solution

    |