Home
Class 12
MATHS
Find a normal vector to the plane x+2y+3...

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

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

Find a normal vector to the plane 2x-y+2z=5. Also, find a unit vector normal to the plane.

Find the normal form of the plane x+2y-2z+6=0 . Also find the length of perpendicular from origin to this plane and the d.c.'s of the normal.

Show that the normal vector to the plane 2x+2y+2z=3 is equally inclined with the coordinate axes.

The unit vector normal to the plane x + 2y +3z-6 =0 is (1)/(sqrt(14)) hati + (2)/(sqrt(14))hatj + (3)/(sqrt(14))hatk.

Find the angles at which the normal vector to the plane 4x+8y+z=5 is inclined to the coordinate axes.

Find the normal form of the plane 2x+3y-z = 5 . Also find the length of perpendicular from origin and d.c's of the normal to the plane.

Find the equation of the plane which is perpendicular to the plane 5x+3y+6z+8=0 adn which contains the line of intersection of the planes x+2y+3z-4=0a n d2x+y-z+5=0.

Find the equation of the plane which contains the line of intersection of the planes x+2y+3z-4=0a n d2x+y-z+5=0 and which is perpendicular to the plane 5x+3y-6z+8=0.

The direction cosines of the normal to the plane x + 2y - 3z + 4 = 0 are

Find the equation of the plane through the line of intersection of the planes x+2y+3z+4=0\ a n d\ x-y+z+3=0 and passing through the origin.

RD SHARMA ENGLISH-THE PLANE -All Questions
  1. Write the normal form of the equation of the plane 2x-3y+6z+14=0.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Find the angle between the plane: x-y+z=5\ a n d\ x+2y+z=9

    Text Solution

    |

  15. Find the angle between the two planes 2x + y-2z = 5and 3x- 6y-2z = 7...

    Text Solution

    |

  16. Find the angle between the plane: x+y-2z=3\ a n d\ 2x-2y+z=5 .

    Text Solution

    |

  17. Find the angle between the plane: 2x-3y+4z=1\ a n d-x+y=4.

    Text Solution

    |

  18. Show that the following planes are at right angle: vec rdot((2 hat i-...

    Text Solution

    |

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

    Text Solution

    |

  20. Determine the value of lambda for which the following plane are perpen...

    Text Solution

    |