Home
Class 12
MATHS
If the coordinates of the points A, B, C...

If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (– 4, 3, – 6) and (2, 9, 2) respectively, then find the angle between the lines AB and CD.

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

The coordinates of points A,B,C and D are (-3, 5), (4, -2), (x, 3x) and (6, 3) respectively and Area of (Delta ABC)/(Delta BCD)=(2)/(3) ,find x.

Find the coordinates of the point where the line through (3, – 4, – 5) and (2, – 3, 1) crosses the plane 2x+y+z=7

If hati+hatj+hatk, 2hati+5hatj, 3hati+2hatj-3hatk and hati-6hatj-hatk are the position vectors of points A, B, C and D respectively, then find the angle between AB and CD. Deduce that AB and CD are collinear.

Find x such that the four points A (4, 1, 2), B (5, x, 6), C (5, 1,-1) and D (7, 4, 0) are coplanar

The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) respectively and P is any point (x ,\ y) . Show that the ratio of the areas of triangles P B C and A B C is |(x+y-2)/7| .

Find the equation of the plane determined by the points A(3,-1,2), B(5,2,4) and C(-1,-1,6) and hence find the distance between the plane and the point P(6,5,9).

Find the coordinates of the foot of perpendicular drawn from the point A(1, 8, 4) to the line joining the points B(0, -1, 3) and C(2, -3, -1). Hence find the image of the point A in the line BC.

The centroid of a triangle ABC is at the point (1,1,1). If the coordinates of A and B are (3,-5,7) and (-1,7,-6) respectively, find the coordinats of the point C.

If A and B are (- 2,- 2) and (2,- 4) respectively, find the coordinates of P such that AP= 3/7 AB and Pliesin the line segment AB.

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the angle between the lines whose direction ratios are : a,b,c...

    Text Solution

    |

  2. Find the equation of a line parallel to x-axis and passing through the...

    Text Solution

    |

  3. If the coordinates of the points A, B, C, D be (1, 2, 3), (4, 5, 7), (...

    Text Solution

    |

  4. If the lines: (x-1)/(3k)=(y-2)/(2)=(z+3)/1 and (x-1)/(2)=(y-1)/(k)=(z-...

    Text Solution

    |

  5. Find the vector equation of the line passing through (1, 2, 3) and per...

    Text Solution

    |

  6. Find the equation of the plane passing through (a, b, c) and parallel ...

    Text Solution

    |

  7. Find the shortest distance between the following lines whose vector eq...

    Text Solution

    |

  8. Find the coordinates of the points where the line through (5,1,6) and ...

    Text Solution

    |

  9. Find the coordinates of the point where the line through (5,1,6) and (...

    Text Solution

    |

  10. Find the coordinates of the point where the line through (3, – 4, – 5)...

    Text Solution

    |

  11. Find the equation of the plane passing through the point (-1, 3, 2) an...

    Text Solution

    |

  12. If the points (1, 1, p) and (– 3, 0, 1) be equidistant from the plane ...

    Text Solution

    |

  13. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  14. If O be the origin and the coordinates of P be (1, 2, – 3), then find ...

    Text Solution

    |

  15. Find the equation of the plane which contains the line of intersection...

    Text Solution

    |

  16. Find the distance of the point (-1 , -5 , -10) from the point of inter...

    Text Solution

    |

  17. Find the vector equation of the line passing through (1, 2, 3) and par...

    Text Solution

    |

  18. Find the vector equation of the line passing through the point (1,2,-4...

    Text Solution

    |

  19. Prove that if a plane has intercepts a,b,c and is at a distance of p u...

    Text Solution

    |

  20. Find the Distance between the two planes 2x+3y+4z=4 and 4x+6y+8z=12

    Text Solution

    |