Home
Class 12
MATHS
Reduce the equation of the plane x-2y-2z...

Reduce the equation of the plane `x-2y-2z=12` to normal form and hence find the length of the perpendicular for the origin to the plane. Also, find the direction cosines of the normal to the plane.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    RD SHARMA ENGLISH|Exercise All Questions|244 Videos
  • VECTOR OR CROSS PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

Reduce the equation 2x-3y-6z=14 to the normal form and hence fine the length of perpendicular from the origin to the plane. Also, find the direction cosines of the normal to the plane.

Reduce the equation vec r (dot(3 hat i-4 hat j+12 hat k ))=5 to normal form and hence find the length of perpendicular from the origin to the plane.

Reduce each of the equations to the normal form and find the length of the perpendicular from origin to the line x-y=4

Find the length of the perpendicular drawn from the origin to the plane 2x - 3y+6z+21=0.

Find the length of the perpendicular drawn from the origin to the plane 2x \ 3y+6z+21=0.

Reduce each of the equations to the normal form and find the length of the perpendicular from origin to the line x-4=0

Reduce each of the equations to the normal form and find the length of the perpendicular from origin to the line x+y-2=0

Reduce each of the equations to the normal form and find the length of the perpendicular from origin to the line 4x+3y-9=0

Reduce each of the equations to the normal form and find the length of the perpendicular from origin to the line 3x-4y+10=0

Reduce each of the equations to the normal form and find the length of the perpendicular from origin to the line sqrt(3) x+y+2=0

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. If O be the origin and the coordinates of P be(1," "2," "" "3) , th...

    Text Solution

    |

  2. Find the vector equation of a plane at a distance of 5 units from the ...

    Text Solution

    |

  3. Reduce the equation of the plane x-2y-2z=12 to normal form and hence f...

    Text Solution

    |

  4. Find the vector equation of a plane which is at a distance of 6 units ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. Reduce the equation 2x-3y-6z=14 to the normal form and hence fine the ...

    Text Solution

    |

  8. Write the normal form of the equation of the plane 2x-3y+6z+14=0.

    Text Solution

    |

  9. The direction ratios of the perpendicular from the origin to a plane ...

    Text Solution

    |

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

    Text Solution

    |

  11. Find the vector equation of the plane which is at a distance of 6/(sq...

    Text Solution

    |

  12. Find the distance of the plane 2x 3y + 4z 6 = 0from the origin.

    Text Solution

    |

  13. Find the vector equation of the plane passing thrugh the points (2,5,-...

    Text Solution

    |

  14. Find the vector equation of the plane passing through the points (1, ...

    Text Solution

    |

  15. Show that the planes 2x+6y-6z=7\ a n d\ 3x+4y+5z=8 are at right angles...

    Text Solution

    |

  16. Find the vector equation of the plane passing through the points (2,...

    Text Solution

    |

  17. Find the angle between the plane: vec rdot((2 hat i-3 hat j+4 hat k)=...

    Text Solution

    |

  18. Find the angle between the plane: vec rdot((2 hat i- hat j+2 hat k)=6...

    Text Solution

    |

  19. Find the angle between the plane: vec rdot((2 hat i+3 hat j-6 hat k)=...

    Text Solution

    |

  20. Find the angle between the plane: 2x-y+z=4\ a n d\ x+y+2z=3

    Text Solution

    |