Home
Class 12
MATHS
Let vec(a), vec(b) and vec(c) be three ...

Let `vec(a), vec(b) and vec(c) ` be three vectors such that `vec(a) + vec(b) + vec(c) = 0 and |vec(a)|=10, |vec(b)|=6 and |vec(c) |=14`.
What is `vec(a). vec(b) + vec(b).vec(c)+ vec(c). vec(a)`. equal to ?

A

0

B

`-7`

C

7

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -I)|21 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -II)|15 Videos

  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL-II)|41 Videos

  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

Consider the following for the next two items that follow Let vec(a).vec(b) and vec(c ) be three vectors such that vec(a) +vec(b) + vec(c )= vec(0) and |vec(a)|= 10 |vec(b)| =6 and |vec(c )|=14 . What is vec(a).vec(b) + vec(b).vec(c ) + vec(c ).vec(a) equal to ?

Let vec(a), vec(b) and vec(c) be three vectors such that vec(a) + vec(b) + vec(c) = 0 and |vec(a)|=10, |vec(b)|=6 and |vec(c) |=14 . What is the angle between vec(a) and vec(b) ?

vec(a)+vec(b)+vec(c)=vec(0) such that |vec(a)|=3, |vec(b)|=5 and |vec(c)|=7 . What is vec (a). vec(b) + vec(b). vec(c) + vec(c). vec (a) equal to ?

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

Consider the following for the next two items that follow Let vec(a).vec(b) and vec(c ) be three vectors such that vec(a) +vec(b) + vec(c )= vec(0) and |vec(a)|= 10 |vec(b)| =6 and |vec(c )|=14 . What is the angle between vec(a) and vec(b) ?

If vec(a) , vec(b) and vec(c ) be three vectors such that vec(a) + vec(b) + vec(c )=0 and |vec(a)|=3, |vec(b)|=5,|vec(C )|=7 , find the angle between vec(a) and vec(b) .

vec(a)+vec(b)+vec(c)=vec(0) such that |vec(a)|=3, |vec(b)|=5 and |vec(c)|=7 . What is |vec(a)+vec(b)| equal to ?

If the vectors vec(a), vec(b) and vec(c ) satisfy the condition vec(a)+vec(b)+vec(c )=vec(0) and |vec(a)|=3, |vec(b)| =4 and |vec(c )|=5 , then show that vec(a).vec(b)+vec(b).vec(c )+vec(c ). vec(a)=-25 .

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 and vec c be any three vectors then show that vec a+(vec b+vec c)=(vec a+vec b)+vec c

MOTION-VECTOR -EXERCISE - 1
  1. The value of 'a' for which the points A, B,C with position vectors ...

    Text Solution

    |

  2. A paticle acted on by constant forces 4hati=hatj-3hatk and 3hati+hatj-...

    Text Solution

    |

  3. Let vec(a), vec(b) and vec(c) be three vectors such that vec(a) + vec...

    Text Solution

    |

  4. If vec(a)= hati - hatj, bar(b) = hat(i) + hat(j), vec(c) = hat(i) + 3h...

    Text Solution

    |

  5. Given the three vectors vec(a) = - 2hati + hat(j) + hat(k), vec(b) = ...

    Text Solution

    |

  6. Let vec a , vec ba n d vec c be three units vectors such that 2 vec a...

    Text Solution

    |

  7. Let vec a = hati+hatj and vec b = 2 hat i - hat k. The point of inters...

    Text Solution

    |

  8. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

    Text Solution

    |

  9. Unit vector perpendicular to the plane of DeltaABC with position vecto...

    Text Solution

    |

  10. If vec(b) and vec(c) are two non-collinear vectors such that vec(a)...

    Text Solution

    |

  11. Find the vector of length 3 unit which is perpendicular to hat i+ ...

    Text Solution

    |

  12. Given the vertices A(2,3,1), B(4,1,-2), C(6,3,7) and D(-5,-4,8) of a ...

    Text Solution

    |

  13. For a non zero vector vec(A) . If the equations vec(A).vec(B) = vec...

    Text Solution

    |

  14. If vecu and vecv are unit vectors and theta is the acute angle bet...

    Text Solution

    |

  15. If vecu=veca-vecb,vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvecv...

    Text Solution

    |

  16. If A(1,1,1),C(2,-1,2) the vector equation of the line vec(AB) is v...

    Text Solution

    |

  17. The value of [(veca -2vecb-vecc)(veca-vecb)( veca-vecb-vecc)] is equal...

    Text Solution

    |

  18. The volume of the parallelopiped constructed on the diagonals of the f...

    Text Solution

    |

  19. If vec u , vec va n d vec w are three non-cop0lanar vectors, then ...

    Text Solution

    |

  20. Let overset(to)(a) =a(1) hat(i) + a(2) hat(j) + a(3) hat(k) , overse...

    Text Solution

    |