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

Find the shortest distance between the following lines `vecr = 2hat(i) - 5hat(j) + hat(k) + lambda(3hat(i) + 2hat(j) + 6hat(k))` and  `vecr = 7 hat(i) - 6hat(k) + mu (hat(i) + 2hat(j) + 2hat(k))`

Text Solution

Verified by Experts

The correct Answer is:
`(17)/(5)sqrt(5)` units
Promotional Banner

Topper's Solved these Questions

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Part III Questions For Practice ( Lines in Space) Long Answer Type Questions|15 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Odisha Bureau.s Textbooks Solutions (Exercise 13(a)) Fill in the blanks|4 Videos

  • THREE-DIMENSIONAL GEOMETRY

    ARIHANT PUBLICATION|Exercise Part III Questions For Practice ( Lines in Space) Very Short Answer Type Questions|23 Videos

  • SAMPLE PAPER 5

    ARIHANT PUBLICATION|Exercise Long answer type question|13 Videos

  • VECTOR ALGEBRA

    ARIHANT PUBLICATION|Exercise Chapter Practice (Long Answer Type Questions)|8 Videos

Similar Questions

Explore conceptually related problems

By computing shortest distance, determine whether the following pair of lines intersect or not vecr = (4hat(i) + 5hat(j)) + lambda (hat(i) + 2hat(j) - 3hat(k)) and vecr = (hat(i) - hat(j) + 2hat(k)) + mu(2hat(i) + 4hat(j) - 5hat(k)) .

ARIHANT PUBLICATION-THREE-DIMENSIONAL GEOMETRY-Part III Questions For Practice ( Lines in Space) Short Answer Type Questions
  1. Evaluate the following integrals : int(x^(2)/sinx^(3))dx

    Text Solution

    |

  2. Find the co-ordinates of the point where the perpendicular from the or...

    Text Solution

    |

  3. Show that the lines at (5-x)/(-4) = (y-7)/(4) = (z+3)/(-5) and (x-8)/(...

    Text Solution

    |

  4. Find the points on the line (x+2)/(3) = (y+1)/(2) = (z-3)/(2)  at a d...

    Text Solution

    |

  5. The cartesian equations of a line is 6x - 2 = 3y + 1 = 2z - 2. Find th...

    Text Solution

    |

  6. Show that the line through the points (1 - 1,2), (3, 4,-2) is perpendi...

    Text Solution

    |

  7. Find the equation of a linę passing through the point (1, 2 - 4) and p...

    Text Solution

    |

  8. Find the vector and cartesian equations of the line passing through th...

    Text Solution

    |

  9. Find the vector and cartesian equation of a line through the point (1,...

    Text Solution

    |

  10. Find the foot of the perpendicular from (1, 2 , - 3) to the line (x+1)...

    Text Solution

    |

  11. Find the shortest distance between the following lines vecr = 2hat(i) ...

    Text Solution

    |

  12. Find the shortest distance between the lines  (x-3)/(1) = (y - 5)/(-2)...

    Text Solution

    |

  13. By computing shortest distance, determine whether the following pair o...

    Text Solution

    |

  14. Show that the (x-1)/(3) = (y+1)/(2) = (z-1)/(5) and (x+2)/(4) = (y-1)/...

    Text Solution

    |

  15. Find the equation of the plane passing through the line x = y = z and ...

    Text Solution

    |

  16. Find the image of the point (-2,0,3) with respect to the plane y = 3.

    Text Solution

    |

  17. Find the value of r, if the line  (x-1)/(1) = (y+2)/(3) = (z-1)/(-1) =...

    Text Solution

    |

  18. Determine the symmetric form of the equation to the line of intersecti...

    Text Solution

    |

  19. Evaluate the following integrals : int(sinx+x^(2))dx

    Text Solution

    |