Home
Class 12
MATHS
If G is the intersection of diagonals of...

If G is the intersection of diagonals of a parallelogram ABCD and O is any point, then ` O vecA + O vec B + O vec C + vec (OD) = `

A

`3 vec(OM)`

B

`4vec(OM)`

C

`2vec(OM)`

D

`vec(OM)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA OF VECTORS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • ALGEBRA OF VECTORS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • ALGEBRAIC INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Exercise|39 Videos

Similar Questions

Explore conceptually related problems

If G si the intersectioinof diagonals of a parallelogram ABCD and O is any point then Ovec A+Ovec B+Ovec C+Ovec D=2vec OG b.4vec OG c.5vec OG d.3vec OG

If E is the intersection point of diagonals of parallelogram ABCD and vec( OA) + vec (OB) + vec (OC) + vec (OD) = xvec (OE) where O is origin then x=

ABCD is a parallelogram with AC and BD as diagonals. Then, A vec C - B vec D =

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

O is any point on the diagonal B D of the parallelogram A B C Ddot Prove that a r( O A B)=a r( O B C)

The diagonals of a parallelogram ABCD intersect at O.A line through O intersects AB at X and DC at Y. Prove that OX=OY

ABCD is parallelogram and P is the point of intersection of its diagonals.If O is the origin of reference,show that vec OA+vec OB+vec OC+vec OD=4vec OP

Let ABCD is a parallelogram and vec AC,vec BD be its diagonal,then vec AC+vec BD is

ABDC is a parallelogram and P is the point of intersection of its diagonals. If O is any point, then overline(OA)+overline(OB)+overline(OC)+overline(OD)=

ABCD is a quadrilateral.E is the point of intersection of the line joining the midpoints of the opposite sides.If O is any point and vec OA+vec OB+vec OC+vec OD=xvec OE, then x is equal to a.3 b.9 c.7 d.4

OBJECTIVE RD SHARMA-ALGEBRA OF VECTORS-Exercise
  1. The vector vec c , directed along the internal bisector of the angle...

    Text Solution

    |

  2. A, B have vectors vec a , vec b relative to the origin O and X, Y d...

    Text Solution

    |

  3. If a vector ofmagnitude 50 is collinear with vector vecb = 6 hat i - 8...

    Text Solution

    |

  4. The vector vec c , directed along the internal bisector of the angle...

    Text Solution

    |

  5. Let vec a , vec b ,vec c are three non- coplanar vectors such that ...

    Text Solution

    |

  6. If vec a, vec b , vec c are three non- coplanar vectors such that v...

    Text Solution

    |

  7. veca, vecb ,vecc are three non zero vectors no two of which are collon...

    Text Solution

    |

  8. Let alpha, beta, gamma be distinct real numbers. The points with posit...

    Text Solution

    |

  9. The points with position vectors 60hati+3hatj,40hati-8hatj, 40hati-8ha...

    Text Solution

    |

  10. If the points with position vectors 10 hat i+3 hat j ,12 hat i-5 ha...

    Text Solution

    |

  11. If C is the middle point of AB and P is any point outside AB, then

    Text Solution

    |

  12. The median AD of the triangle ABC is bisected at E and BE meets AC ...

    Text Solution

    |

  13. In a trapezium ABCD the vector B vec C = lambda vec(AD). If vec p = ...

    Text Solution

    |

  14. If vec x and vec y are two non-collinear vectors and ABC is a triangle...

    Text Solution

    |

  15. If D, E, F are respectively the mid-points of AB, AC and BC respectiv...

    Text Solution

    |

  16. Forces 3 O vec A , 5 O vec B act along OA and OB. If their resultant ...

    Text Solution

    |

  17. If ABCDEF is a regular hexagon with vec(AB) = veca and vec(BC)= vecb, ...

    Text Solution

    |

  18. If A, B, C are vertices of a triangle whose position vectors are vec ...

    Text Solution

    |

  19. Let vec a=hati -2 hatj + 3 hatk, vec b = 3 hati + 3 hatj -hat k and v...

    Text Solution

    |

  20. If G is the intersection of diagonals of a parallelogram ABCD and O is...

    Text Solution

    |