Home
Class 12
MATHS
Show that the line through the points (1...

Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perpendicular to the line through the points (0, 3, 2) and (3, 5, 6).

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 line through the points (4, 7, 8), (2, 3, 4) is parallel to the line through the points (– 1, – 2, 1), (1, 2, 5).

Show that the line through the points : (4,7,8), (2,3,4) is parallel to the line through the points (-1,-2,1) and (1,2,5).

Line through the points (-2,6) and (4 ,8) is perpendicular to the line through the points (8,12) and (x, 24). Find the value x.

Find the equation of the plane passing through the point A(1, 2, 1) and perpendicular to the line joining the points P(1, 4, 2) and Q(2, 3, 5). Also, find the distance of this plane from the line (x+3)/(2)=(y-5)/(-1)=(z-7)/(-1)

Find the vector and cartesian equation of a line through the point (1, – 1, 1) and perpendicular to the lines joining the points (4, 3, 2), (1, -1,0) and (1, 2,-1), (2, 1, 1).

Find the slope of the line through the points : (3, -2), (3, 4).

Slope of the line passing through the points (3, -2) and (3, 4) is:

Show that the line : through (- 2, 6) and (4, 8) is perpendicular to the line through (8, 12) and (4, 24).

Find the vector equation of the plane through the point (2,0,-1) and perpendicular to the line joining the two pints (1,2,3) and (3,-1,6).

Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, – 1), (4, 3, – 1).

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the direction cosines of the sides of the triangle whose vertices...

    Text Solution

    |

  2. show that the three lines with direction cosines <12/13,-3/13,-4/13>, ...

    Text Solution

    |

  3. Show that the line through the points (1, – 1, 2), (3, 4, – 2) is perp...

    Text Solution

    |

  4. Show that the line through the points : (4,7,8), (2,3,4) is parallel t...

    Text Solution

    |

  5. Find the equation of the line which passes through the point (1, 2, 3)...

    Text Solution

    |

  6. Find the equation of the line in vector and in cartesian form that pas...

    Text Solution

    |

  7. Find the cartesian equation of the line which passes through the point...

    Text Solution

    |

  8. The cartesian equation of a line is (x-5)/3 = (y+4)/7 = (z-6)/2. Write...

    Text Solution

    |

  9. Find the vector and the cartesian equations of the lines that passes t...

    Text Solution

    |

  10. Find the vector and the cartesian equations of the line that passes th...

    Text Solution

    |

  11. Find the angle between the following pair of lines: vecr = 2hati-5hatj...

    Text Solution

    |

  12. Find the angle between the following pair of lines: vecr = 3hati+hatj-...

    Text Solution

    |

  13. Find the angle between the following pairs of lines : (x-2)/2=(y-1)/5=...

    Text Solution

    |

  14. Find the angle between the lines x/2=y/2=z/1 and [x-5]/4=[y-2]/1=[z-3]...

    Text Solution

    |

  15. Find the value of p so that the lines : l1:(1-x)/3=(7y-14)/(2p)=(z-3)/...

    Text Solution

    |

  16. Show that the lines (x-5)/7 = (y+2)/-5 = z/1 and x/1 = y/2 = z/3 are p...

    Text Solution

    |

  17. Find the shortest distance between the lines vecr = (hati + 2hatj+hatk...

    Text Solution

    |

  18. Find the shortest distance between the lines ((x+1)/7=(y+1)/-6=(z+1)/1...

    Text Solution

    |

  19. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |

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

    Text Solution

    |