Home
Class 12
MATHS
Find the unit vector perpendicular to th...

Find the unit vector perpendicular to the plane `vecr.(6hati+3hatj-2hatk)+1=0` passing through the origin and directed from origin to the plane.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • VECTORS

    PRADEEP PUBLICATION|Exercise EXERCISE|438 Videos

Similar Questions

Explore conceptually related problems

Find the direction cosines of the unit vector perpendicular to the plane vecr cdot(6hati-3hatj-2hatk) +1 = 0 passing through the origin.

Find a unit vector normal to the plane : vecr*(2hati-3hatj+6hatk)+14=0 .

The unit vector perpendicular to the vectors 6hati+2hatj+3hatk and 3hati-6hatj-2hatk , is

Find the vector equation of the line passing through the point (1,2,1) and perpendicular to the plane vecr.(2hati-hatj+hatk)=10 . Find the point of intersection of this line and the plane.

The vector equation of a plane is vecr.(2hati+2hatj-hatk)=21 , find the length of the perpendicular from the origin to the plane.

Find the vector equation of a line passing through the point with position vector (2hati-3hatj-5hatk) and perpendicular to the plane vecr*(6hati-3hatj-5hatk)+2=0 . Also, find the point of intersection of this line and the plane.

Find the unit vector in the direction of the vector : veca =2hati-3hatj+6hatk .

Find the vector equation of the line passing through the point (3,1,2) and perpendicular to the plane vecr*2hati-hatj+hatk)=4 . Also find the point of intersection of this line and the plane.

PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Write the vector equation of the following lines and hence find distan...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the unit vector perpendicular to the plane vecr.(6hati+3hatj-2hat...

    Text Solution

    |

  4. Find the cartesian equation of the following planes: vecr.(hati+hatj+h...

    Text Solution

    |

  5. Find the cartesian equation of the following planes: vecr.(2hati-3hatj...

    Text Solution

    |

  6. Find the equations of the line passing through the point (1,-1,2) and...

    Text Solution

    |

  7. Find the equation of the line passing through the point with position ...

    Text Solution

    |

  8. Find the general solution of the following (1+logx)xdy=ydx

    Text Solution

    |

  9. Find the equation of the plane passing through the point (3,-3, 1) and...

    Text Solution

    |

  10. Find the equation of a plane which bisects perpendicularly the line se...

    Text Solution

    |

  11. Find the equation of the plane through the point (1,4,-2) and parallel...

    Text Solution

    |

  12. If the line drawn from (4,-1,2) to the point (-3,2,3) meets a plane at...

    Text Solution

    |

  13. Find the equation of the plane through (1,5,-2) and parallel to the pl...

    Text Solution

    |

  14. The position vectors of two points A and B are 3 hati+hatj+2hatk and h...

    Text Solution

    |

  15. Find the vector equations of the line passing through the point (1,-1,...

    Text Solution

    |

  16. Find the vector equation of the line through the origin, which is perp...

    Text Solution

    |

  17. The vector equation of a plane is vecr.(2hati+2hatj-hatk)=21, find the...

    Text Solution

    |

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

    Text Solution

    |

  19. Find the vector equation of a line passing through the point with posi...

    Text Solution

    |

  20. The foot of perpendicular drawn from the origin to a plane is (12,-4,-...

    Text Solution

    |