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

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)`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

  • VECTOR ALGEBRA

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|161 Videos

Similar Questions

Explore conceptually related problems

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 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 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=i+j+lambda(2i-j+k) and barr=2i+j-k+mu(3i-5j+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

The angle between the vectors i+j and j+k is

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 vectors veca=2i+j-k and vecb=i-j+k .

Find the angle between the vectors veca=3i+4j+k and vecb=2i+3j-k .

A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
  1. Find the angle between the following pairs of lines.(x)/2=(y)/2=(z)/1 ...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the shortest distance between the lines whose vector equations ...

    Text Solution

    |

  4. Find the shortest distance between the lines vecr = (1-t)hati+(t-2)hat...

    Text Solution

    |

  5. Consider the plane passing through (2, 3, 5) and perpendiular to the v...

    Text Solution

    |

  6. Consider the plane passing through (2, 3, 5) and perpendiular to the v...

    Text Solution

    |

  7. Consider a plane passing through the points A(-2, 6, -6), B(-3, 10, -9...

    Text Solution

    |

  8. Consider a plane passing through the points A(-2, 6, -6), B(-3, 10, -9...

    Text Solution

    |

  9. Find the eqauation of the plane through the points (2, 1, -1) and (-1,...

    Text Solution

    |

  10. Consider the points A(2, 2, 1) and B(9, 3, 6) and the plane 2x+6y+6z-1...

    Text Solution

    |

  11. Find the equation of the plane that contains the point (1, -1, 2) and ...

    Text Solution

    |

  12. Suppose that a plane meets the co-ordinate axes at A, B, C such that t...

    Text Solution

    |

  13. Find the vector equation of the plane passing through the intersection...

    Text Solution

    |

  14. Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=...

    Text Solution

    |

  15. Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=...

    Text Solution

    |

  16. Consider the line (x-1)/2 = (y-2)/-3=(z+5)/4 and the plane 2x+4y-z=3. ...

    Text Solution

    |

  17. Consider the line vecr = (hati+2hatj-hatk)+lambda(2hati+hatj+4hatk) an...

    Text Solution

    |

  18. Consider the line vecr = (hati+2hatj-hatk)+lambda(2hati+hatj+4hatk) an...

    Text Solution

    |

  19. Determine the direction cosines of the normal to the plane and the dis...

    Text Solution

    |

  20. Determine the direction cosines of the normal to the plane and the dis...

    Text Solution

    |