Home
Class 12
MATHS
If ABCD is a parallelogram and vec AB = ...

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|`.

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

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 .

If vec a , vec b are any two vectors, then give the geometrical interpretation of relation | vec a+ vec b|=| vec a- vec b|

Does |quad vec a|= |quad vec b| imply vec a= vec b ?

If ABCDEF is a regular hexagon with vec(AB) = vec(a) ,vec(BC ) = vec(b) then vec(CE) equals :

If vec a and vec b are any two vectors, then prove that |quad vec a+ vec b|^2 + |quad vec a- vec b|^2= 2|quad vec a|^2 + 2|quad vec b|^2 .

If vec c is normal to vec a and vec b , show that vec c is normal to vec a+ vec b and vec a - vec b .

If vec aa n d vec b are two vectors such that | vec axx vec b|=2, then find the value of [ vec a vec b vec axx vec b]dot

Define vec a*vec b where vec a and vec b are any two vectors. Find vec a*vec b if |quad vec a|=2 , |quad vec b|=5 .

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. Express vec AB and vec AD in terms of vec AC and vec BD .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If vec a = 5hat i - hat j- 2hat k and vec b =5 hat i+ hat j - 2 hat k,...

    Text Solution

    |

  2. If ABCD is a parallelogram and vec AB = vec a, vec BC= vec b then show...

    Text Solution

    |

  3. If ABCD is a parallelogram and vec AB = vec a, vec BC= vec b then give...

    Text Solution

    |

  4. ABC is any triangle and D,E,F are the mid-points of sides vec(BC),vec(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |