Home
Class 12
MATHS
Find a vector of magnitude 26 units norm...

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

Text Solution

Verified by Experts

Here equation of plane....
`12 x-3 y+4 z=1 `
`\Rightarrow (x \hat{i}+y \hat{j}+z \hat{k}) \cdot(12 \hat{i}-3 \hat{j}+4 \hat{k})=1`
...
Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND NORMALS

    RD SHARMA|Exercise Solved Examples And Exercises|244 Videos
  • TRIGONOMETRIC IDENTITIES

    RD SHARMA|Exercise EXAMPLE|1 Videos

Similar Questions

Explore conceptually related problems

Find a unit vector normal to the plane is x-2y+2z=6 .

Find the direction cosines of the normal to the plane 2x+3y-z=4 .

Find the directions ratios of the normal to the plane 2x+3y+z=7

Find the direction cosines of the normal to the plane 4x-3y+5z=25 and the length of the perpendicular from the origin on this plane

Find a vector vec r of magnitude 3sqrt(2) units which makes an angle of (pi)/(4) and (pi)/(2) with y and z-axis respectively.

Find a vector vec r of magnitude 3sqrt(3) units which makes an angle of (pi)/(4) and (pi)/(2) with y and z- axis respectively.

Find the equations of the planes parallel to the plane x - 2y + 2z -4 = 0 , which are at a unit distance from the point (1, 2, 3).

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

RD SHARMA-THE PLANE -Solved Examples And Exercises
  1. Show that the equation of the planes are perpendicular to each other. ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |