Home
Class 12
MATHS
Determine the direction cosines of the n...

Determine the direction cosines of the normal to the plane and the distance from the origin
x + y + z = 1.

Text Solution

Verified by Experts

The correct Answer is:
Direction ratios of the normal to the given plane are 1, 1, 1 The distance of the plane from the origin = `abs((1)/sqrt(1+1+1)) = (1)/sqrt3`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

  • VECTOR ALGEBRA

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|161 Videos

Similar Questions

Explore conceptually related problems

Determine the direction cosines of the normal to the plane and the distance from the origin 2x + 3y - z = 5.

Determine the direction cosines of the normal to the plane and the distance from the origin. z = 2.

Determine the direction cosines of the normal to the plane and the distance from the origin 5x + 8 = 0.

Consider the Plane barr.(-6i-3j-2k)+1=0 . find the direction cosines perpendicular to the plane and perpendicular distance from the origin.

Find the direction cosines of x, y and z -axis

Write all the direction cosines of x-axis.

Find the co-ordinates of the foot of the perpendicular drawn from the origin. x + y + z = 1

The direction cosines of the line 4x-4=1-3y=2z-1 are :

A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
  1. Consider the line vecr = (hati+2hatj-hatk)+lambda(2hati+hatj+4hatk) an...

    Text Solution

    |

  2. Determine the direction cosines of the normal to the plane and the dis...

    Text Solution

    |

  3. Determine the direction cosines of the normal to the plane and the dis...

    Text Solution

    |

  4. Determine the direction cosines of the normal to the plane and the dis...

    Text Solution

    |

  5. Determine the direction cosines of the normal to the plane and the d...

    Text Solution

    |

  6. Find the vector equation of a plane which is at a distance of 7 units ...

    Text Solution

    |

  7. Find the cartesian equation fo the following planes. vecr.(hati+hatj-h...

    Text Solution

    |

  8. Find the cartesian equation fo the following planes.vecr.(2hati+3hatj-...

    Text Solution

    |

  9. Find the cartesian equation fo the following planes. vecr.[(s-2t)hati+...

    Text Solution

    |

  10. Find the co-ordinates of the foot of the perpendicular drawn from th...

    Text Solution

    |

  11. In the following cases, find the co-ordinates of the foot of the perpe...

    Text Solution

    |

  12. Find the co-ordinates of the foot of the perpendicular drawn from th...

    Text Solution

    |

  13. Find the co-ordinates of the foot of the perpendicular drawn from the ...

    Text Solution

    |

  14. Find the vector and cartesian equations of the plane that passes throu...

    Text Solution

    |

  15. Find the vector and cartesian equations of the plane that passes throu...

    Text Solution

    |

  16. Find the equation of the planes that pass through the points.. (1, 1,...

    Text Solution

    |

  17. Find the equation of the planes that pass through the points... (1, ...

    Text Solution

    |

  18. Find the intercepts cut off by the plane 2x + y - z = 5

    Text Solution

    |

  19. Find the equation of the plane with intercept 3 on the y-axis and para...

    Text Solution

    |

  20. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |