Home
Class 12
MATHS
Find the vector equation of a plane whic...

Find the vector equation of a plane which is at a distance of 5 units from the origin and has <2,-1,2> as the direction numbers of a normal to the plane.

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

Find the vector equation of a plane which is at a distance of 7 units from the origin and normal to the vector 3hati+5hatj-6hatk .

Find the vector equation of a plane, which is at a distance of 5 units from the origin and its normal vector is 2hati-3hatj+6hatk .

Find the vector equation of a plane, which is at a distance of 7 units from the origin and which is normal to the vector 3hati+5hatj-6hatk .

Find the vector equation of a plane, which is at a distance of 7 uits from the origin and which is normal to the vector 3hati+5hatj-6hatk .

Find the vector equation of a plane which is at a distance of 8 units from the origin and which is normal to the vector 2 hat i+ hat j+2 hat kdot

Find the vector equation of the plane which is at a distance of 7 units from the origin and which is normal to the vector 3hat(i)+5hat(j)-6hat(k) .

Direction cosines of any normal to xy-plane are

Find the vector equations of the plane which is at a distance of 7 from the origin and its normal vector from the origin is 2hati-6hatj+3hatk .

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the vector equation of the line through the origin, which is perp...

    Text Solution

    |

  2. The vector equation of a plane is vecr.(2hati+2hatj-hatk)=21, find the...

    Text Solution

    |

  3. Find the vector equation of a plane which is at a distance of 5 units ...

    Text Solution

    |

  4. Find the vector equation of a line passing through the point with posi...

    Text Solution

    |

  5. The foot of perpendicular drawn from the origin to a plane is (12,-4,-...

    Text Solution

    |

  6. The foot of perpendicular drawn from the origin to a plane is (2,5,7)....

    Text Solution

    |

  7. O is the origin and A is (a,b,c). Find the d.c. of OA and the equation...

    Text Solution

    |

  8. Find the equation of the plane whose intercepts on the axes are 3,4,5 ...

    Text Solution

    |

  9. Find the equation of the plane passing through the point (2,4,6) and m...

    Text Solution

    |

  10. A variable plane moves so that the sum of reciprocals of its intercept...

    Text Solution

    |

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

    Text Solution

    |

  12. Find the intercepts made by the plane 2x-3y+5z+4=0 on the co-ordinate ...

    Text Solution

    |

  13. Change to normal form the plane 2x-3y+6z+4=0

    Text Solution

    |

  14. Find the vector equation of the following planes in scalar product for...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the vector equation of the following plane in scalar product form...

    Text Solution

    |

  17. Find the equation satisfied by the coordinates of a variable point P(x...

    Text Solution

    |

  18. Find the vector equations of the plane passing through the points R(2...

    Text Solution

    |

  19. Prove that the normal to the plane containing three point whose positi...

    Text Solution

    |

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

    Text Solution

    |