Home
Class 12
MATHS
Find the angle between the following pai...

Find the angle between the following pair of lines: `vecr = 2hati-5hatj+hatk + lambda(3hati+2hatj+6hatk)` and `vecr = 7hati-6hatj+mu(hati+2hatj+2hatk)`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    PSEB|Exercise Exercise|77 Videos

  • RELATIONS AND FUNCTIONS

    PSEB|Exercise Exercise|118 Videos

  • VECTOR ALGEBRA

    PSEB|Exercise Exercise|82 Videos

Similar Questions

Explore conceptually related problems

Find the angle between the following pair of lines: vecr = 3hati+hatj-2hatk + lambda(hati-hatj-2hatk) and vecr = 2hati-hatj-56hatk+mu(3hati-5hatj-4hatk)

Find the angle between the following pair of lines : vecr=hati+hatj-hatk+lambda(hati-3hatj+2hatk), vecr=2hati-hatj+hatk+mu(3hati+hatj-2hatk)

Find the angles between each of the following pairs of lines: vecr=4hati-hatj+lambda(hati+2hatj-hatk) and vecr=hati-hatj+2hatk-mu(2hati+4hatj-4hatk)

Find the angle between the pair of lines vecr=2hati-5hatj+hatk+lamda(3hati+2hatj+6hatk) and vecr=7hati-6hatk+mu(hati+2hatj+2hatk)

Find the angle between the following pairs of lines : vecr=3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) , vecr=5hatj-2hatk+mu(3hati+2hatj+6hatk)

Find the angle between the pair of lines given by vecr = 3hati+2hatj-4hatk+lambda(hati+2hatj+2hatk) and vecr = 5hati-2hatj+mu(3hati+2hatj+6hatk)

Find the shortest distance between each of the following pair of lines: vecr=3hati+5hatj+7hatk+lambda(hati-2hatj+7hatk) and vecr=-hati-hatj-hatk+mu(7hati-6hatj+hatk) .

Find the shortest distance between each of the following pair of lines: vecr=(4hati-5hatj)+lambda(hati+2hatj-3hatk) and vecr=(hati-hatj+2hatk)+mu(2hati+4hatj-5hatk) .

Determine whether or not the following pairs of lines intersect : vecr=(hati-2hatj+3hatk)+lambda(-hati+hatj-2hatk) and vecr=(hati-hatj-hatk)+mu(hati+2hatj-2hatk)

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

PSEB-THREE DIMENSIONAL GEOMETRY-Exercise
  1. Find the vector and the cartesian equations of the lines that passes t...

    Text Solution

    |

  2. Find the vector and the cartesian equations of the line that passes th...

    Text Solution

    |

  3. Find the angle between the following pair of lines: vecr = 2hati-5hatj...

    Text Solution

    |

  4. Find the angle between the following pair of lines: vecr = 3hati+hatj-...

    Text Solution

    |

  5. Find the angle between the lines [x-2]/2=[y-1]/5=[z+3]/-3 and [x+2]/-1...

    Text Solution

    |

  6. Find the angle between the lines x/2=y/2=z/1 and [x-5]/4=[y-2]/1=[z-3]...

    Text Solution

    |

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

    Text Solution

    |

  8. Show that the lines (x-5)/7 = (y+2)/-5 = z/1 and x/1 = y/2 = z/3 are p...

    Text Solution

    |

  9. Find the shortest distance between the lines vecr = (hati + 2hatj+hatk...

    Text Solution

    |

  10. Find the shortest distance between the lines (x+1)/7 = (y+1)/-6 = (z+1...

    Text Solution

    |

  11. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |

  12. Find the shortest distance between the lines whose vector equations ar...

    Text Solution

    |

  13. In the following case, determine the direction cosines of the normal ...

    Text Solution

    |

  14. In the following case, determine the direction cosines of the normal ...

    Text Solution

    |

  15. In the following case, determine the direction cosines of the normal ...

    Text Solution

    |

  16. In the following case, determine the direction cosines of the normal ...

    Text Solution

    |

  17. Find the vector equation of a plane which is at a distance of 7 units ...

    Text Solution

    |

  18. Find the Cartesian equation of the following plane: vecr cdot (hati+ha...

    Text Solution

    |

  19. Find the Cartesian equation of the following plane: vecr cdot (2hati+3...

    Text Solution

    |

  20. Find the Cartesian equation of the following plane: vecr cdot [(s-2t)h...

    Text Solution

    |