Home
Class 12
MATHS
ABCD is a parallelogram and [AC], [BD]ar...

ABCD is a parallelogram and [AC], [BD]are its diagonals. Express `vec AB ` and `vec AD` in terms of `vec AC` and `vec BD`.

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

ABCD is a parallelogram and [AC], [BD]are its diagonals. Express vec AC and vec BD in terms of vec AB and vec AD .

ABCD is a parallelogram and AC, BD are its diagonals. Show that : vec(AC)+vec(BD)=2vec(BC),vec(AC)-vec(BD)=2vec(AB) .

If ABCD is a parallelogram and vec AB = vec a , vec BC= vec b then show that vec AC = vec a+ vec b and vec BD = vec b- vec a .

ABCD is a parallelogram . If P and Q are the mid-points of [BC] and [CD] respectively, show that vec AP + vec AQ=

If ABCD is a parallelogram and vec AB = vec a , vec BC= vec b then give geometrical significance of |quad vec a+ vec b|=|quad vec a- vec b| .

ABCD is a parallelogram and P the intersection of the diagonals, O is any point . Show that vec(OA)+vec(OB)+vec(OC)+vec(OD)=4vec(OP) .

Diagonals AC and BD of a parallelogram ABCD intersect each other at O. if OA=3 cm and OD=2 cm, determine the length of AC and BD.

In a parallelogram ABCD, diagonals AC and BD intersect at O and AC = 6.8 cm and BD = 5.6 cm. Find the measure of OC and OD.

ABCD is a cyclic quadrilateral in which AC and BD are its diagonals.If angleDBC = 70^@ and angle BAC = 30^@ find angleBCD

Determine the lengths of the diagonals of a parallelogram whose adjacent sides are vec a=2 vec m+ vec n and vec b=vec m-2 vec n where vec m and vec n are unit vectors inclined at an angle of angle 60 .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. ABC is any triangle and D,E,F are the mid-points of sides vec(BC),vec(...

    Text Solution

    |

  2. ABCD is a parallelogram and [AC], [BD]are its diagonals. Express vec A...

    Text Solution

    |

  3. ABCD is a parallelogram and [AC], [BD]are its diagonals. Express vec A...

    Text Solution

    |

  4. Evaluate int dx/(x^2+10x+34)

    Text Solution

    |

  5. ABCD is a parallelogram and AC, BD are its diagonals. Show that : vec(...

    Text Solution

    |

  6. Apply vectors to prove that if a pair of opposite sides of quadrilater...

    Text Solution

    |

  7. P is a point on the side BC of DeltaABC and Q is a point such that PQ ...

    Text Solution

    |

  8. Evaluate int dx/(x^2+8x+25)

    Text Solution

    |

  9. If vec a is a vectors of magnitude 3 pointing eastwards and vec b is v...

    Text Solution

    |

  10. Evaluate int dx/(x^2+12x+37)

    Text Solution

    |

  11. integrate the following int dx/(x^2+10x+16)

    Text Solution

    |

  12. integrate the following int dx/(x^2+8x+12)

    Text Solution

    |

  13. integrate the following int dx/sqrt(x^2+6x+13)

    Text Solution

    |

  14. Show that the mid-points o ftwo opposite sides of quadilateral and the...

    Text Solution

    |

  15. ABCD is a quadrilateral and O is point in its plane. Show that if vec ...

    Text Solution

    |

  16. ABCD is a parallelogram . If P and Q are the mid-points of [BC] and [C...

    Text Solution

    |

  17. Evaluate int dx/(3x^2+6x+5)

    Text Solution

    |

  18. A,B,C and D are four points with position vectors vec a, vec b, vec c ...

    Text Solution

    |

  19. ABCDEF is a regular hexagon. Express the vectors vec (CD),vec (DE),vec...

    Text Solution

    |

  20. Express the vector a=5hati-2hatj+5hatk as sum of two vectors such that...

    Text Solution

    |