Home
Class 12
MATHS
Given a parallelogram ABCD. If |vec(AB)|...

Given a parallelogram `ABCD`. If `|vec(AB)|=a, |vec(AD)| = b & |vec(AC)| = c` , then ` vec(DB) . vec(AB)` has the value

A

`1/2(3a^(2)+b^(2)-c^(2))`

B

`1/4(a^(2)+b^(2)-c^(2))`

C

`1/3(b^(2)+c^(2)-a^(2))`

D

`1/2(a^(2)+b^(2)+c^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

Given a parallelogram ABCD. If |vec AB|=a,|vec AD|=b&|vec AC|=c, then vec DB*vec AB has the value

A parallelogram ABCD. Prove that vec(AC)+ vec (BD) = 2 vec(BC) '

ABCD is a parallelogram . If vec(AB)=vec(a), vec(BC)=vec(b) , then what vec(BD) equal to ?

In a triangle ABC, if |vec(BC)|=8, |vec(CA)|=7, |vec(AB)|=10 , then the projection of the vec(AB) on vec(AC) is equal to :

If ABCD is a parallelogram, then vec(AC) - vec(BD) =

In the parallelogram ABCD,vec AC^(2)-vec BD^(2)=

Let G be the centroid of Delta ABC , If vec(AB) = vec a , vec(AC) = vec b, then the vec(AG), in terms of vec a and vec b, is

In a quadrilateral ABCD, vec(AB) + vec(DC) =

If ABCDE is a pentagon, then vec(AB) + vec(AE) + vec(BC) + vec(DC) + vec(ED) + vec(AC) is equal to

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. If x=3i-6j-k, y=i+4j-3k" and "z=3i-4j-12k, then the magnitude of the p...

    Text Solution

    |

  2. Let vec(a) , vec(b) and vec(c) be three non-zero vectors such that no ...

    Text Solution

    |

  3. Given a parallelogram ABCD. If |vec(AB)|=a, |vec(AD)| = b & |vec(AC)| ...

    Text Solution

    |

  4. Let veca and vecb be two unit vectors such that |veca+vecb|=sqrt3 if v...

    Text Solution

    |

  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

    Text Solution

    |

  6. In a triangle ABC , right angled at the vertex A , if the position vec...

    Text Solution

    |

  7. Let ABC be a triangle whose circumcenter is at P, if the positions vec...

    Text Solution

    |

  8. Let a= 2hat(i) -2hat(k) , b=hat(i) +hat(j) and c be a vectors suc...

    Text Solution

    |

  9. The area (in sq units) of the parallelogram whose diagonals are along ...

    Text Solution

    |

  10. If b=3j+4k, is written as sum of a vector b(1) parallel to a=i+j and a...

    Text Solution

    |

  11. Let vec u be a vector coplanar with the vectors vec a = 2 hat i + 3 ha...

    Text Solution

    |

  12. If a, b and c are unit vectors such that a+2b+2c=0," then "abs(a times...

    Text Solution

    |

  13. If the position vectors of the vertices A,B and C of a triangleABC are...

    Text Solution

    |

  14. Let a=i+j+k, c=j-k and a vector b is such that a times b=c" and "a*b=3...

    Text Solution

    |

  15. Let alpha = (lambda-2) a ne b and beta =(4lambda -2)a + 3b be two give...

    Text Solution

    |

  16. Let sqrt(3i) + hatj , hati + sqrt(3j) and beta hati + (1- beta)hatj r...

    Text Solution

    |

  17. Let a= hat(i) + 2hat(j) + 4hat(k) " " b= hat(i) = lambda hat(j) +...

    Text Solution

    |

  18. Let a=hati - hatj, b=hati + hatj + hatk and c be a vector such that a ...

    Text Solution

    |

  19. Let veca = 2hati+(lambda)1hatj+3hatk , vec(b)=4hati+(3-(labda)2)hatj+6...

    Text Solution

    |

  20. Let a=hat(i)+hat(j)+sqrt(2)hat(k),b=b(1)hat(i)+b(2)hat(j)+sqrt(2)hat(...

    Text Solution

    |