Home
Class 12
MATHS
If vec a, vec b, and vec c are vectors s...

If `vec a, vec b`, and `vec c` are vectors such that `|vec b| = |vec c|`, then `{[(vec a + vec b) xx (vec a + vec c)] xx (vec b xx vec c)} . (vec b + vec c) =`

A

1

B

-1

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

(vec b xx vec c) xx (vec c xx vec a ) =

If vec a, vec b, vec c are non coplanar vectors such that, vec b xx vec c = vec a, vec c xx vec a = vec b, vec a xx vec b = vec c , then |vec a + vec b + vec c| =

vec a .[(vec b + vec c) xx (vec a + vec b + vec c)] =

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) =

For any three vectors vec a, vec b, vec c the expression (vec a - vec b) . [(vec b - vec c ) xx (vec c - vec a)] =

If vec a, vec b, vec c are three vectors such that vec a . (vec b + vec c) + vec b . (vec c + vec a) + vec c . (vec a + vec b) = 0 and |vec a| = 1, |vec b | = 4, |vec c| = 8 , then |vec a + vec b + vec c| =

If vec a and vec b are vectors such that |vec a + vec b| = |vec a - vec b| , then the angle between vec a and vec b is

If any vector vec a xx (vec b xx vec c) + vec b xx (vec c xx vec a) + vec c xx (vec a xx vec b) =

If vec a + 2 vec b + 3 vec c = vec 0 , then (vec a xx vec b)+ (vec b xx vec c) + (vec c xx vec a) =

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. Let vec a = i-j, vec b = j-k, vec c = k-i. If vec d is a unit vectors ...

    Text Solution

    |

  2. Let vec a, vec b and vec c be three vectors having magnitudes 1,1, and...

    Text Solution

    |

  3. If vec a, vec b, and vec c are vectors such that |vec b| = |vec c|, th...

    Text Solution

    |

  4. Let vec a and vec b be two non collinear unit vectors. If vec u = vec ...

    Text Solution

    |

  5. If vec a = 2i+j+k, vec b = i + 2j-k and a unit vector vec c be coplana...

    Text Solution

    |

  6. Let vec a = 2i+j-2k and vec b = i+j. If vec c is a vector such that ...

    Text Solution

    |

  7. Let vec a, vec b and vec c are unit coplanar vectors then the scalar t...

    Text Solution

    |

  8. If vec a, vec b, vec c are unit vectors then |vec a - vec b|^(2) + |ve...

    Text Solution

    |

  9. Let vec nu = 2i+j-k and vec w = i+3k. If vec u is a unit vector, then ...

    Text Solution

    |

  10. If vec a and vec b are two unit vectors such that vec a + 2 vec b and ...

    Text Solution

    |

  11. The valur of a so that the volume of parallelopiped formed by vectors ...

    Text Solution

    |

  12. If vec a = i+j+k, vec a. vec b = 1 and vec a xx vec b = j-k then vec b...

    Text Solution

    |

  13. The unit vector which is orthogonal to the vector vec a = 3i+2j+6k and...

    Text Solution

    |

  14. If vec a and vec b are two unit vectors, then the vector (vec a + vec ...

    Text Solution

    |

  15. Given vec a = i+j-k, vec b = -i+2j+k and vec c = -i+2j-k, a unit vecto...

    Text Solution

    |

  16. A unit vector in the xy plane that makes an angle of 45^(o) with the v...

    Text Solution

    |

  17. If vec A = 2i+3j+4k, vec B = i+j+5k and vec C form a left handed syste...

    Text Solution

    |

  18. If vec a, vec b, vec c, vec d are the vertices of a square then

    Text Solution

    |

  19. If vec a, vec b, vec c are mutually perpendicular unit vectors then |...

    Text Solution

    |

  20. If vec a and vec b are unit vectors and theta is the angle between the...

    Text Solution

    |