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

If `vec a,vec b,vec c` are three vectors such that `vec a+vec b+vec c=vec 0` and `|vec a|=3,|b|=4,|vec c|=5` Find the value of `vec a*vec b+vec b*vec c+vec c*vec a`

Promotional Banner

Topper's Solved these Questions

  • Product of three or more Vectors

    A DAS GUPTA|Exercise Exercise|28 Videos

  • Parabola

    A DAS GUPTA|Exercise EXERCISE|51 Videos

  • Product of two Vectors

    A DAS GUPTA|Exercise Exercise|48 Videos

Similar Questions

Explore conceptually related problems

If vec a,vec b and vec c be three vectors such that vec a+vec b+vec c=0,|vec a|=1,|vec c|=3,|vec b|=2, Then find the value of vec a.vec b+vec b.vec c+vec c.vec a

vec a,vec b,vec c are three vectors,such that vec a+vec b+vec c=0 , |vec a|=1, |vec b|=2, |vec c|= 3 , vec a*vec b+vec b*vec c+vec c*vec a is equal to

vec a,vec b,vec c are three vectors, such that vec a+vec b+vec c=0 , |vec a|=1,|vec b|=2,|vec c|=3 , |vec a.vec b+vec b.vec c+vec c.vec a| is equal to

Let vec a , vec b , vec c are three vectors , such that vec a + vec b + vec c = vec 0 .If , |vec a|=3 , |vec b|=4 and | vec c|=5 , then the value of, |vec a+vec b|^(2) + |vec b-vec c|^(2) + |vec c+vec a|^(2) , equal to :

If vec a, vec b, vec c are unit vectors such that vec a + vec b + vec c = vec 0 find the value of vec a * vec b + vec b * vec c + vec c * vec avec a * vec b + vec b * vec c + vec c * vec a

Vector vec a,vec b and vec c are such that vec a+vec b+vec c=vec 0 and |a|=3,|vec b|=5 and |vec c|=7. Find the angle between vec a and vec b.

If vec a,vec b,vec c are three vectors such that vec a+vec b+vec c=vec 0, then prove that vec a xxvec b=vec b xxvec c=vec c xxvec a

If vec(a),vec(b) and vec(c ) are three vectors such that vec(a)+vec(b)+vec(c )=vec(0) and |vec(a)|=2,|vec(b)|=3 and |vec(c )|=5 , then the value of vec(a)*vec(b)+vec(b)*vec(c)+vec(c)*vec(a) is

If vec a,vec b, and vec c are three vectors such that vec a xxvec b=vec c,vec b xxvec c=vec a,vec c xxvec a=vec b then prove that |vec a|=|vec b|=|vec c|

If vec a,vec b,vec c are unit vectors such that vec a+vec b+vec c=vec 0 find the value of vec a+vec b+vec bdot c+vec *vec a

A DAS GUPTA-Product of three or more Vectors-Exercise
  1. lf vec a,vec b,vec c , vec a', vec b',vec c', are two sets of non-...

    Text Solution

    |

  2. Let vec(a),vec(b)andvec(c) be three non-coplanar vectors and let vec(p...

    Text Solution

    |

  3. If vec a,vec b,vec c are three vectors such that vec a+vec b+vec c=vec...

    Text Solution

    |

  4. Prove that hat ixx( vec axx hat i) hat jxx( vec axx hat j)+ hat kxx( ...

    Text Solution

    |

  5. If vecaxx(vecbxxvecc)+(veca*vecb)vecb=(4-2beta-sinalpha)vecb+(beta^2-...

    Text Solution

    |

  6. Let vec abe a unit vector and vec ba non-zero vector not parallel to v...

    Text Solution

    |

  7. For any vector vec a , prove that | vec axx hat i|^2+| vec axx hat j|...

    Text Solution

    |

  8. If vectors b ,ca n dd are not coplanar, then prove that vector ( ve...

    Text Solution

    |

  9. If vec a, vecb and vec c are three conterminuous edges of a parallelo...

    Text Solution

    |

  10. Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equal...

    Text Solution

    |

  11. If vec a=vec i + vec j + vec k, vec b=vec i - vec j + vec k and vec c=...

    Text Solution

    |

  12. If the volume of a parallelopiped, whose three coterminous edges are -...

    Text Solution

    |

  13. Find the volume of the parallelepiped whose coterminous edges are r...

    Text Solution

    |

  14. The points (3,6,9), (1,2,3), (2,3,4) and (4,6,lambda) are coplanar if ...

    Text Solution

    |

  15. If vec xdot vec a=0, vec xdot vec b=0a n d vec xdot vec c=0 for some ...

    Text Solution

    |

  16. Let veca,vecb and vecc be three vectors having magnitudes 1, 1 and 2 r...

    Text Solution

    |

  17. The scalar vec Adot( vec B+ vec C)xx( vec A+ vec B+ vec C) equals 0 b...

    Text Solution

    |

  18. Let a,b,c be distinct non zero numbers. If the vectors a vec i + a ve...

    Text Solution

    |

  19. The vectors vecaxx(vecbxxvecc), vecbxx(veccxxveca) and veccxx(vecaxxve...

    Text Solution

    |

  20. vec p , vec q ,a n d vec r are three mutually perpendicular vectors of...

    Text Solution

    |