Home
Class 12
MATHS
Show that the points : (4, 7, 8), (2, 3,...

Show that the points : (4, 7, 8), (2, 3, 4), (- 1, - 2, 1), (1, 2, 5) are the vertices of a parallelogram.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

Similar Questions

Explore conceptually related problems

Show that the points (1, 2, 3), (-1, -2, -1), (2, 3, 2) and (4, 7, 6) are the vertices of a parallelogram.

Show that the points (3, -1, -1), (5,-4, 0), (2, 3, -2) and ( 0, 6, -3) are the vertices of a parallelogram*.

The points (5, -5, 2), (4, -3, 1), (7, -6, 4) and (8, -7, 5) are the vertices of

Show that the points A(1, 2, 3,), B (-1, -2. -1), C(2, 3, 2) and D(4, 7, 6) are the vertices of parallelogram ABCD but it is not a rectangle.

Show that the points :- P (3, 2), Q (0, - 1), R (- 3,- 2) and S (0, 1) are the vertices of parallelogram PQRS.

Show that the points (4,7,8), (2,3,4),(-1,-2,1) and (1,2,5) taken in order from a parallelogram. Do these points form a rectangle.

Show that the points (5, - 1, 1),(7, - 4, 7), (1, - 6, 10) and (- 1, -3, 4) are the vertices of a rhombus.

Show that the points (2, 3, 4), (– 1, – 2, 1), (5, 8, 7) are collinear.

Show that the points (1, 7), (4, 2), (-1,-1) and (-4, 4) are the vertices of a square.

Verify the following: (-1, 2, 1), (1, -2, 5), (4, -7, 8) and (2, -3, 4) are the vertices of a parallelogram.

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. If A and B are the points (-3,4,-8) and (5,-6,4) respectively, find th...

    Text Solution

    |

  2. Using section formula, prove that the three points (-2,3,5),(1,2,3) an...

    Text Solution

    |

  3. Show that the points : (4, 7, 8), (2, 3, 4), (- 1, - 2, 1), (1, 2, 5) ...

    Text Solution

    |

  4. Using vectors, show that the medians of a triangle are concurrent.

    Text Solution

    |

  5. Prove that the points A(5,0,2), B(2,-6,0),C(4,-9,6) and D(7,-3,8), tak...

    Text Solution

    |

  6. If three consecutive vertices of a parallelogram are (3,4,-1),(7,10,-3...

    Text Solution

    |

  7. The ends of a side of a parallelogram are (2,5,-3),(3,7,-5) and its di...

    Text Solution

    |

  8. The mid-points of the sides of a triangle are (5,7,11),(0,8,5) and (2,...

    Text Solution

    |

  9. Two vertices of a traingle are (2,-6,4) and (4,-2,3) and its centroid ...

    Text Solution

    |

  10. Find the coordinates of the centroid of a triangle the mid points of w...

    Text Solution

    |

  11. A (3, 2, 0), B(5, 3, 2), C(- 9, 6, -3) are three points forming a tria...

    Text Solution

    |

  12. Calculate the cosine of the angle A of the triangle with vertices A(1,...

    Text Solution

    |

  13. The direction ratios of a vector are <1,-3,-2>, find its direction cos...

    Text Solution

    |

  14. Find the direction cosines of the vectors: 2hati+2hatj-hatk

    Text Solution

    |

  15. Find the direction cosines of the vectors: 6hati-2hatj-3hatk

    Text Solution

    |

  16. Find the direction cosines of the vectors: 3hati+4hatk

    Text Solution

    |

  17. Find the direction cosines of the vectors: hatk

    Text Solution

    |

  18. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  19. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |

  20. Find the angles at which the following vectors are inclined to each of...

    Text Solution

    |