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

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

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+2j+3k+lambda(i+j+k) and barr=i+j+k+mu(i+j+k)

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)

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)

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 )

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)

The distance between the planes r. (i+ 2j - 2k ) + 5 =0 and r. (2i + 4j - 4k ) - 16 =0 is

MAXIMUM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. If a1,b1,c1 and a2,b2,c2 are the direction ratios of two lines , then ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. The equation of the line which passes through the point (1,2,3) and pa...

    Text Solution

    |

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

    Text Solution

    |

  6. Consider the lines (x-3)/2=(y-1)/5=(z+3)/4 and (x+5)/1=(y+2)/1=(z-3)...

    Text Solution

    |

  7. Consider the lines (x-3)/2=(y-1)/5=(z+3)/4 and (x+5)/1=(y+2)/1=(z-3)...

    Text Solution

    |

  8. Find the vector equation of the Plane Passing through the intersection...

    Text Solution

    |

  9. Express the vector equation barr.(5i+3j+4k)=0 of a Plane in Cartesian ...

    Text Solution

    |

  10. Given the plane 5x-2y+4z-9=0 Find the foot of the perpendicular draw...

    Text Solution

    |

  11. Given the plane 5x-2y+4z-9=0 Find the foot of the perpendicular draw...

    Text Solution

    |

  12. The foot of the perpendicular from the origin to a plane is P(4,-2,5)....

    Text Solution

    |

  13. The foot of the perpendicular from the origin to a plane is P(4,-2,5)....

    Text Solution

    |

  14. Consider the lines (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/3=(y+7)/2=(z-6...

    Text Solution

    |

  15. Consider the lines (x-3)/3=(y-8)/-1=(z-3)/1 and (x+3)/3=(y+7)/2=(z-6...

    Text Solution

    |

  16. Consider the Cartesian equation of a line (x-3)/2=(y+1)/3=(z-5)/-2 F...

    Text Solution

    |

  17. Consider the Cartesian equation of a line (x-3)/2=(y+1)/3=(z-5)/-2 F...

    Text Solution

    |

  18. The foot of the perpendicular drawn from origin to a Plane is (4,-2,5)...

    Text Solution

    |

  19. The foot of the perpendicular drawn from origin to a Plane is (4,-2,5)...

    Text Solution

    |

  20. The foot of the perpendicular drawn from origin to a Plane is (4,-2,5)...

    Text Solution

    |