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

Find the shortest distance between the lines `vecr = (1-t)hati+(t-2)hatj+(3-2t)hatk` and `vecr = (s+1)hati+(2s-1)hatj-(2s+1)hatk`

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 skew lines vecr=shatk and vecr=(1-t)hati+thatj

Find the shortest distance between the lines: vecr=3 hati+8 hatj+3 hatk+lambda(3 hati-hatj+hatk) and vecr=-3 hati-7 hatj+6 hatk+mu(-3 hati+2 hatj+4 hatk)

Find the shortest distance between the lines vecr =(2hati-hatj-hatk)+lambda(3hati-5hatj+2hatk) and vecr =(hati+hatj+hatk)+mu(hati-hatj+hatk)

Find the shortest distance between the lines vecr = 6hati+2hatj+2hatk+lambda(hati-2hatj+2hatk) and vecr = -4hati-hatk+mu(3hati-2hatj-2hatk)

The angle between the straight line vec r =(2-3t) hat i+(1+2t)hatj+(2+6t) hatk and vec r= (1+4s) hati+(2-s) hatj+ (8s-1) hatk is a) cos^-1 (sqrt(41)/34) b) cos^-1 (21/34) c) cos^-1 (43/63) d) cos^-1 (34/63)

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

Find the shortest distance between the lines l_1 and l_2 barr=hati+hatj+ lambda(2 hati-hatj+k) and barr=2 hati+hatj-hatk+mu^*(3 hati-5hatj+2 hatk)

Find the cartesian equation fo the following planes. vecr.[(s-2t)hati+(3-t)hatj+(2s-t)hatk] = 15

A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
  1. Find the values of p so that the lines (1-x)/3 = (7y-14)/(2p) = (z-3)/...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |