Home
Class 12
MATHS
Show that the normal to the following pl...

Show that the normal to the following planes are perpendicular to each other. `x-y+z-2=0\ a n d\ 3x+2y-z+4=0`

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

Determine the value of lambda for which the following plane are perpendicular to each other. 3x-6y-2z=7\ a n d\ 2x+y-lambdaz=5

Determine the value of lambda for which the following plane are perpendicular to each other. 2x-4y+3z=5\ a n d\ x+2y+lambdaz=5

Show that the following planes are at right angle: x-2y+4z=10\ a n d\ 18 x+17 y+4z=49.

Find the equation of the plane passing through the point (1, 3, 2) and perpendicular to each of the planes : x+2y+3z=5\ a n d\ 3x+3y+z=0

Show that the lines (x-5)/7=(y+2)/(-5)=z/1andx/1=y/2=z/3 are perpendicular to each other.

Find the equation of the plane passing through the point (-1,3,2) and perpendicular to each of the planes x+2y+3z=5a n d3x+3y+z=0.

Find the equation of the plane passing through the point (-1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0

Find the equation of the plane passing through the point (-1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0

Find the equation of a plane passes through the point (0 ,0,0) and perpendicular to each to the planes x+2y-z=1 and 3x-4y+z=5 .

Equation of the plane passing through the point (1,1,1) and perpendicular to each of the planes x+2y+3z=7 and 2x-3y+4z=0 l is

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Find the intercepts made on the coordinate axes by the plane 2x+y-2z=3...

    Text Solution

    |

  2. Find the equation of the plane that bisects the line segment joining ...

    Text Solution

    |

  3. Show that the normal to the following planes are perpendicular to each...

    Text Solution

    |

  4. Show that the normal to the following planes are perpendicular to each...

    Text Solution

    |

  5. Show that the equation of the planes are perpendicular to each other. ...

    Text Solution

    |

  6. Show that the normal vector to the plane 2x+2y+2z=3 is equally incline...

    Text Solution

    |

  7. Find a vector of magnitude 26 units normal to the plane 12 x-3y+4z=1.

    Text Solution

    |

  8. Find the equation of the plane which bisects the line segment joining ...

    Text Solution

    |

  9. Find the vector and the Cartesian equation of the plane which pases th...

    Text Solution

    |

  10. If O be the origin and the coordinates of P be(1," "2," "" "3) , th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |