Home
Class 12
MATHS
Find the shortest distance between the l...

Find the shortest distance between the lines `(x+1)/7=(y+1)/-6=(z+1)/1` and `(x-3)/1=(y-5)/-2=(z-7)/1`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MAXIMUM PUBLICATION|Exercise EXAMPLE|106 Videos

  • VECTOR ALGEBRA

    MAXIMUM PUBLICATION|Exercise EXAMPLE|107 Videos

Similar Questions

Explore conceptually related problems

The Cartesian equation of two lines are (x+1)/7=(y+1)/-6=(z+1)/1 and (x-3)/1=(y-5)/-2=(z-7)/1 .Write the vector equations.

Find the angle between the lines (x+3)/3=(y-1)/5=(z+3)/4 and (x+1)/1=(y-4)/1=(z-5)/2 .

Find the angle between the lines (x-3)/1=(y-1)/5=(z+3)/-3 and(x+1)/-1=(y-4)/8=(z-5)/4

Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3 and (x+2)/-1=(y-4)/8=(z-5)/4

The Cartesian equation of two lines are given by (x+1)/7=(y+1)/-6=(z+1)/1,(x-3)/1=(y-5)/-2=(z-7)/1 Write the vector equation of these lines.

Find the angle between the following pairs of lines. (x)/2=(y)/2=(z)/1 and (x-5)/4=(y-2)/1=(z-3)/8

Find the equation of the plane containing the lines (x-4)/1=(y-3)/4=(z-2)/5 and (x-3)/1=(y-2)/-4=(z+3)/5

MAXIMUM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Find the Cartesian equation of the plane passing through the point A(2...

    Text Solution

    |

  2. The distance of the plane x+y+z = 1 from the point (1,1,1) is a)4 ...

    Text Solution

    |

  3. Find the equation of the plane passing through (1,0,-2) and perpendicu...

    Text Solution

    |

  4. The lines x-1=y=z is perpendicular to the line.....a)(x-2)/1=(y-1)/2=z...

    Text Solution

    |

  5. Find the shortest distance between the lines barr=i+2j+3k+lambda(i+j+k...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the equation of the Plane passing through one point (-1,3,2) and ...

    Text Solution

    |

  8. A line makes equal angles with the coordinate axis . Find the directio...

    Text Solution

    |

  9. Find the equation of the plane passing through (1,1,-1),(2,3,5) and (-...

    Text Solution

    |

  10. Find p and q , if the plane x+py+qz=0 is perpendicular to the plane 3x...

    Text Solution

    |

  11. Given the straight linrs barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2...

    Text Solution

    |

  12. Given the straight linrs barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2...

    Text Solution

    |

  13. Given the straight lines barr=3i+2j-4k+lambda(i+2j+2k) and barr=5i-2...

    Text Solution

    |

  14. Write the Cartesian equation of the straight line through the point (...

    Text Solution

    |

  15. Write the Cartesian equation of the straight line through the point (...

    Text Solution

    |

  16. Write the Cartesian equation of the straight line through the point (...

    Text Solution

    |

  17. Find the distance from (1,2,3) to the plane 2x+3y-z+2=0

    Text Solution

    |

  18. Consider a plane passing through the point (5,2,-4) and perpendicular ...

    Text Solution

    |

  19. Consider a plane passing through the point (5,2,-4) and perpendicular ...

    Text Solution

    |

  20. Consider a plane passing through the point (5,2,-4) and perpendicular ...

    Text Solution

    |