Home
Class 12
MATHS
Show that the plane whose vector equatio...

Show that the plane whose vector equation is `vecr.(hati+2hatj-hatk)=3` contains the line whose vector equation is `vecr=hati+hatj+lambda(2hati+hatj+4hatk)`.

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

Show that the line L whose vector equation is vecr=2hati-2hatj+3hatk+lambda(hati-hatj+4hatk) is parallel to the plane pi whose vector equation is vecr*(hati+5hatj+hatk)=5 and find the distance between them.

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

Find the shortest distance between two lines whose vector equations are : vecr=hati+2hatj+hatk+lambda(hati+hatj+hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk)

Find the angle between the planes whose vector equations are vecr cdot(2hati+2hatj - 3hatk) = 5 and vecr cdot(3hati-3hatj+5hatk) = 3

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

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

Find the distance of the point with position vector -hati-5hatj-10hatk from the point of intersection of the line vecr=(2hati-hatj+2hatk)+lambda(3hati+4hatj+12hatk) and the plane vecr*(hati-hatj+hatk)=5 .

Find the shortest distance between the lines whose equations are : vecr=hati+2hatj+hatk+lambda(hati-hatj+hatk) and vecr=2hati-hatj-hatk+mu(2hati+hatj+2hatk) .

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

Find the shortest distance between two lines whose vector equations are : vecr=hati-7hatj-2hatk+lambda(hati+3hatj+2hatk) and vecr=-3hati+4hatj-2hatk+mu(-hati+2hatj+hatk)

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Prove that the normal to the plane containing three point whose positi...

    Text Solution

    |

  2. Find the equation of a plane which is at a distance 3sqrt3 units from ...

    Text Solution

    |

  3. Show that the plane whose vector equation is vecr.(hati+2hatj-hatk)=3 ...

    Text Solution

    |

  4. Find the equation of the plane through the points (2,2,-1) and (3,4,2)...

    Text Solution

    |

  5. Find the equation of the plane which passes through the line (x-3)/2=(...

    Text Solution

    |

  6. Find the equation of the plane containing the line (x-3)/7=(y-4)/0=(z-...

    Text Solution

    |

  7. Find the equation of the plane containing the line (x+1)/-3=(y-3)/2=(z...

    Text Solution

    |

  8. Find the equation of the plane passing through the point (1,1,1) and c...

    Text Solution

    |

  9. Find the equation of the plane which is parallel to the line (x-4)/1=(...

    Text Solution

    |

  10. Find the equation of the plane parallel to the line (x-2)/1=(y-1)/3=(z...

    Text Solution

    |

  11. Evaluate int dx/(secx + tanx)

    Text Solution

    |

  12. Find the equation of the line passing through (1,2,3) and parallel to ...

    Text Solution

    |

  13. Find the equation of the plane, which contains two lines: (x-4)/1=(y-3...

    Text Solution

    |

  14. Find the equation of the plane containingg the lines: vecr=hati+hatj+l...

    Text Solution

    |

  15. Find the vector equation of the line (x-1)/2=(y-2)/-3=(z+3)/4.

    Text Solution

    |

  16. Find the co-ordinates of the points where the line through the points ...

    Text Solution

    |

  17. Find the co-ordinates of the point P, where the line through A(3,-4,-5...

    Text Solution

    |

  18. Find the co-ordinates of the points where the line through the points ...

    Text Solution

    |

  19. Find the distance of the point (-1 , -5 , -10) from the point of inter...

    Text Solution

    |

  20. Show that the lines (x+1)/-3=(y-3)/2=(z+2)/1 and x/1=(y-7)/-3=(z+7)/2 ...

    Text Solution

    |