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

Find the shortest distance between the lines `barr=i+2j+3k+lambda(i+j+k)` and
`barr=i+j+k+mu(i+j+k)`

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

Find the shortest distance between the lines barr=i+j+lambda(2i-j+k) and barr=2i+j-k+mu(3i-5j+2k)

Find the shortest distance between the lines barr=(2i-j-k)+lambda(3i-5j+2k) and barr=(i+2j+k)+mu(i-j+k)

find the shortest distance between the pair of lines barr=(i+2j+3k)+lambda(i-3j-2k) barr=(4i+5j+6k)+mu(2i+3j+k)

Find the distance between the line barr=i+j+lambda(2i+j+4k) and the plane barr.(-2i+k)=5 .

Find the angle between the pair lines barr=2i-5j+k+lambda(3i+2j+6k) and barr=7i-6k+mu(i+2j+2k)

Find the shortest distance between the skew lines ⃗ r = ( ⃗ i + 2 ⃗ j + ⃗ k ) + λ ( ⃗ i − ⃗ j + ⃗ k ) and ⃗ r = ( 2 ⃗ i − ⃗ j − ⃗ k ) + η ( 2 ⃗ i + ⃗ j + 2 ⃗ k )

The length of the shortest distance between the two lines r=(-3i+6j)+s(-4i+3j+2k) and r=(-2i+7k)+t(-4i+j+k) is

Find the shortest distance between the lines whose vector equations are vecr=(i+2j+3k)+lambda(i-3j+2k) and vecr=(4i+5j+6k)+mu(i-3j+2k)

The angle between the line r = (i + 2j + 3k) + lambda (2i + 3j + 4k) and the plane r.(i + 2j -2k) = 0 is a) 0^(@) b) 60^(@) c) 30^(@) d) 90^(@)

Find the equation of the line passing through the point (2,1,0) and (3,2,-1) Find the shortest distance of the line from the line barr=(i-j+2k)+lambda(2i+j-3k)

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

    |