Home
Class 12
MATHS
Determine whether or not the following p...

Determine whether or not the following paris of lines intersect:
`vecr=hati-hatj+lambda(2hati+hatk)`, `vecr=2hati-hatj+mu(hati-hatj-hatk)`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

Similar Questions

Explore conceptually related problems

Determine whether or not the following paris of lines intersect: vecr=hati-5hatj+lambda(2hati+hatk) , vecr=2hati-hatj+mu(hati+hatj-hatk) .

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)

Determine whether the following pair of lines intersect : vecr=hati+hatj-hatk+lamda(3hati-hatj) and vecr=4hati-hatk+mu(2hati+3hatk)

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)

Determine whether or not the following pairs of lines intersect : vecr=(2lambda+1)hati-(lambda+1)hatj+(lambda+1)hatk and vecr=(3mu+2)hati-(5mu+5)hatj+(2mu-1)hatk

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 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) .

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

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the shortest distance between each of the following pair of lines...

    Text Solution

    |

  2. Find shortest distance between lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)...

    Text Solution

    |

  3. Determine whether or not the following paris of lines intersect: vecr=...

    Text Solution

    |

  4. Determine whether or not the following paris of lines intersect: vecr=...

    Text Solution

    |

  5. Determine whether or not the following paris of lines intersect: (x-1)...

    Text Solution

    |

  6. Find the general solution of the following (1+x^2)dy=xydx

    Text Solution

    |

  7. Find the general solution of the following (e^x+1)dy=y(e^x)dx

    Text Solution

    |

  8. Show that the lines (x-1)/23=(y+1)/2=(z-1)/5 and (x-2)/4=(y-1)/3=(z+1)...

    Text Solution

    |

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

    Text Solution

    |

  10. Find the normal unit vector to the plane x+2y+3z-6=0.

    Text Solution

    |

  11. Find the unit vector perpendicular to the plane vecr.(6hati+3hatj-2hat...

    Text Solution

    |

  12. Find the cartesian equation of the following planes: vecr.(hati+hatj+h...

    Text Solution

    |

  13. Find the cartesian equation of the following planes: vecr.(2hati-3hatj...

    Text Solution

    |

  14. Find the equations of the line passing through the point (1,-1,2) and...

    Text Solution

    |

  15. Find the equation of the line passing through the point with position ...

    Text Solution

    |

  16. Find the general solution of the following (1+logx)xdy=ydx

    Text Solution

    |

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

    Text Solution

    |

  18. Find the equation of a plane which bisects perpendicularly the line se...

    Text Solution

    |

  19. Find the equation of the plane through the point (1,4,-2) and parallel...

    Text Solution

    |

  20. If the line drawn from (4,-1,2) to the point (-3,2,3) meets a plane at...

    Text Solution

    |