Home
Class 12
MATHS
The points A(4, 5, 10), B(2, 3, 4) and C...

The points `A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1)` are three vertices of a parallelogram ABCD. Find the vector equations of side AB and BC and also find the coordinates of point D .

Promotional Banner

Topper's Solved these Questions

  • Three Dimensional Geometry

    MODERN PUBLICATION|Exercise EXERCISE|491 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

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

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

If the points A(6, 1 ), B(8, 2), C(9, 4) and D(p, 3) are the vertices of a parallelogram, taken in order, find the value of p.

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

Show that the points : A (0,- 2), B (3, 1), C (0, 4) and D (- 3, 1) are the vertices of a square ABCD.

Prove that the points (2, - 1), (0, 2), (3, 3) and (5,0) are the vertices of a parallelogram. Also find the angle between its diagonals.

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 : A (7, 3), B (3, 0), C (0, -4) and D (4, - 1) are the vertices of rhombus ABCD.

Show that the points :- A (2, 1), B (5, 4), C (4, 7) and D(1, 4)are the angular points of a paralleogram. ABCD.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Show that the line through the points : (4,7,8), (2,3,4) is parallel t...

    Text Solution

    |

  2. The cartesian equations of a line are 3x + 1 = 6y - 2 = 1 - z. Find th...

    Text Solution

    |

  3. The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices ...

    Text Solution

    |

  4. Write the equation of a line, parallel to the line (x-2)/-3=(y+3)/2=(z...

    Text Solution

    |

  5. Find the equation of the line perpendicular to the lines : vecr=(3hati...

    Text Solution

    |

  6. Find the equations of the straight line passing through the point (2,...

    Text Solution

    |

  7. Find the equations of the straight line passing through the point (1, ...

    Text Solution

    |

  8. Find the vector and cartesian equations of the line passing through th...

    Text Solution

    |

  9. Find the equation in vector anf cartesian form of the line passing thr...

    Text Solution

    |

  10. Find the equation of the line passing through the point (2, -1, 3) and...

    Text Solution

    |

  11. Prove that the points (1,2,3),(4,0,4),(-2,4,2) and (7,-2,5) are collin...

    Text Solution

    |

  12. Show that the following points whose psitions vectors are given are co...

    Text Solution

    |

  13. Show that the following points whose psitions vectors are given are co...

    Text Solution

    |

  14. Find the points on the line through the points A(1,2,3) and B(5,8, 15)...

    Text Solution

    |

  15. Find the equations of the perpendicular from the point (3,-1,11,) to t...

    Text Solution

    |

  16. Show that the line joining the origin to the point (2, 1, 1) is perpen...

    Text Solution

    |

  17. Find the vector equation of a line passing through a point with positi...

    Text Solution

    |

  18. Find the vector equation of a line passing through the point with posi...

    Text Solution

    |

  19. Find the distance of the point (1,2,3) from the line joining the point...

    Text Solution

    |

  20. Find the distance of the point (1,2,3) from the co ordinate axes.

    Text Solution

    |