Home
Class 12
MATHS
Show that the point A(2,-3,-4), B(1,2,3...

Show that the point `A(2,-3,-4), B(1,2,3), C(3,-8,-11)` are collinear.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 B|30 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 11 C|7 Videos

  • THREE-DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|23 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

  • VECTORS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Using direction ratios show that the points A(2,3,-4), B(1,-2,3) and C(3,8,-11) are collinear.

Show that the points A (-2,3,5), B (1,2,3) and C (7,0,-1) are collinear.

Prove that the points A(2,0,-3), B (1,-2,-5) and C(3,2,-1) are collinear.

Show that the point A(1,-1,3), B(2,-4,5) and C(5,-13,11) are collinear.

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

Show that the points (2, -3, 3), (1, 2, 4) and (3, -8, 2) are collinear. [Hint : Sum of any two sides is equal to third side.]

Show that the points A (2, -3, -4) , B (1, 2, 3) and C (3, -8, -11) are collinear.

Given that the points A(2,3,4),B(-1,2,-3) and C(-4,1,-10) are collinear. Then the ratio in which C divides AB is

Using the section formula, prove that the three points A(-2,3,5),B(1,2,3) and C(7,0,-1) are collinear.

Using vector method, show that the points A(2,-1,3),B(4,3,1) and C(3,1,2) are collinear

NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Exercise 11 A
  1. Find the direction cosines of that line whose direction ratios are as ...

    Text Solution

    |

  2. Find the direction cosines of the line joining the following points : ...

    Text Solution

    |

  3. Show that the point A(2,-3,-4), B(1,2,3), C(3,-8,-11) are collinear.

    Text Solution

    |

  4. Find the angle between those lines whose direction ratios are as foll...

    Text Solution

    |

  5. Find the angle between the following vectors : (i) veca = 2hati-6ha...

    Text Solution

    |

  6. Show that the joint of the points (1,2,3), (4,5,7) is parallel to the ...

    Text Solution

    |

  7. If A (6,-6,0), B(-1,-7,6), C (3,-4, 4) and D (2,-9,2) be four points i...

    Text Solution

    |

  8. If vecr is a vector of magnitude 21 and has direction ratios 2, -3 an...

    Text Solution

    |

  9. Find the angles which the following vectors, makes form the co-ordinat...

    Text Solution

    |

  10. The pair of lines whose direction cosines are given by the equations 3...

    Text Solution

    |

  11. The direction cosines of two lines satisfying the conditions l + m +...

    Text Solution

    |

  12. If the direction cosines of two lines are l(1), m(1), n(1) and l(2), m...

    Text Solution

    |

  13. Find the angle between any two diagonals of a cube.

    Text Solution

    |

  14. Find the angle between two lines whose direction ratios are proport...

    Text Solution

    |

  15. Find the angles of a triangle whose verties are A(3,2,1), B(35,2) and ...

    Text Solution

    |

  16. If a line makes angles 90o," "135o," "45o with the x, y and z-axes ...

    Text Solution

    |

  17. Find the direction cosines of a line which makes equal angles with ...

    Text Solution

    |

  18. If a line has the direction ratios 18 , 12 , 4, then what are its ...

    Text Solution

    |

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

    Text Solution

    |

  20. Find the direction cosines of the sides of the triangle whose vertice...

    Text Solution

    |