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

Find the shortest distance between the lines :
`vecr=hati-hatj+lamda(2hati+hatk)` and `vecr=2hati-hatj+mu(hati+hatj-hatk)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK (TYPE-III: (TRUE OR FALSE QUESTIONS))|17 Videos

  • SAMPLE QUESTIONS PAPER - III (UNSOLVED)

    ACCURATE PUBLICATION|Exercise SECTION - D|6 Videos

  • VECTOR ALGEBRA

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 2 MARKS|102 Videos

Similar Questions

Explore conceptually related problems

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

Find the shortest distance (S.D.) between the lines : vecr=hatj+lamda(3hati+hatj-2hatk) and vecr=2hati+3hatj-hatk+mu(2hati-hatj+4hatk)

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

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

Find the shortest distance (S.D.) between the lines vecr=3hati+5hatj+7hatk+lamda(hati-2hatj+hatk) and vecr=-hati-hatj-hatk+lamda(7hati-6hatj+hatk)

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

Find the shrotest distance between the lines vecr=hati-7hatj-2hatk+lamda(hati+3hatj+2hatk) and vecr=3hati+4hatj-2hatk+mu(-hati+2hatj+hatk)

Find the shortest distance between the lines vecr_1=hati+2hatj-3hatk+lambda(3hati-4hatj-hatk) vecr_2=2hati-hatj+hatk+mu(hati+hatj+5hatk)

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

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 6 MARKS:
  1. Find the image of the point (1,6,3) in the line : x/1=(y-1)/2=(z-2)/3.

    Text Solution

    |

  2. Find the co ordinates of the foot of perpendicular and the length of t...

    Text Solution

    |

  3. Find the shortest distance between the lines : vecr=hati-hatj+lamda(...

    Text Solution

    |

  4. Find the shortest distance between the following lines whose vector eq...

    Text Solution

    |

  5. Find the shortest distance between the lines vecr=hati+2hatj+3hatk+lam...

    Text Solution

    |

  6. Find the shortest distance (S.D.) between the lines : vecr=hatj+lamd...

    Text Solution

    |

  7. Write the vector equation of the following lines and hence find distan...

    Text Solution

    |

  8. Find the shortest distance between the lines x+1=2y=-12z and x=y+2=6z-...

    Text Solution

    |

  9. Show that the lines: vecr=(hati+hatj)+lambda(2hati-hatk) and vecr=(2ha...

    Text Solution

    |

  10. Determine whether the following pair of lines intersect : vecr=hati+...

    Text Solution

    |

  11. Find the vector and cartesian equation of the plane which bisects the ...

    Text Solution

    |

  12. Find the equation of the plane passing through the point (3,-3, 1) and...

    Text Solution

    |

  13. Find the co-ordinates of the foot of the perpendicular distance of the...

    Text Solution

    |

  14. Find the equation of the plane passing through (a, b, c) and parallel ...

    Text Solution

    |

  15. A plane meets the coordinates axes in A, B and C such that the centroi...

    Text Solution

    |

  16. Find the direction ratios of the normal to the plane, which passes thr...

    Text Solution

    |

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

    Text Solution

    |

  18. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  19. Find the equation of the plane passing through the line of intersectio...

    Text Solution

    |

  20. Find the equation of the plane which contains the line of intersection...

    Text Solution

    |