Home
Class 12
MATHS
Find the vector and Cartesian equations ...

Find the vector and Cartesian equations of a plane which is at a distance of 5 units from the origin and which has `hatk` as the unit vector normal to it.

Text Solution

Verified by Experts

The correct Answer is:
`vecr.hatk=5,z=5`
Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28C|34 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28F|18 Videos

  • THE PLANE

    RS AGGARWAL|Exercise Exercise 28A|9 Videos

  • SYSTEM OF LINEAR EQUATIONS

    RS AGGARWAL|Exercise Objective Questions|53 Videos

  • VECTOR AND THEIR PROPERTIES

    RS AGGARWAL|Exercise Exercise 22|24 Videos

Similar Questions

Explore conceptually related problems

Find the vector equation of a plane which is at a distance of 3 units from the origin and has hat k as the unit vector normal to it.

Find the vector and Cartesian equations of a plane which is at a distance of 6 units from the origin and which has a normal with direction ratios 2,-1,-2.

Find the vector equation of a plane at a distance of 5 units from the origin and has hat i as the unit vector normal to it.

Find the vector equation of a plane which is at a distance of 4 units from the origin and which has (2hati-3hatj+6hatk) as the normal vector.

Find the vector and Cartesian equations of a plane which is at a distance of 7 units from the origin and whose normal vector from the origin is (3hati+5hatj-6hatk) .

Find the vector equation of a plane which is at a distance of 6 units from the origin and which is normal to the vector (hati+2hatj-2hatk) .

Find the vector equation of a plane which is at a distance of 6 units from the origin and which is normal to the vector (hati+2hatj-2hatk) .

Find the vector equation of a plane which is at a distance of 6 units from the origin and has 2, -1, 2 as the direction ratios of a normal to it. Also, find the coordinates of the foot of the normal drawn from the origin.

Find the vector equation of a plane which is at a distance of 5 units from the origin and which is normal to the vector hat i-2 hat j-2 hat kdot

Find the vector equation of a plane which is at a distance of 5 units from the origin and its normal vector is 2hat i-3hat j+6hat k.

RS AGGARWAL-THE PLANE-Exercise 28B
  1. Find the vector and Cartesian equations of a plane which is at a dista...

    Text Solution

    |

  2. Find the vector and Cartesian equations of a plane which is at a dista...

    Text Solution

    |

  3. Find the vector equation of the plane which is at a distance of 6/sqrt...

    Text Solution

    |

  4. Find the vector and Cartesian equations of a plane which is at a dista...

    Text Solution

    |

  5. Find the vector and Cartesian equation of the plane that passes throug...

    Text Solution

    |

  6. Find the length of perpendicular from the origin to the plane vecr.(3h...

    Text Solution

    |

  7. Find the Cartesian equation of the plane whose vector equation is vecr...

    Text Solution

    |

  8. Find the vector equation of a plane whose Cartesian equation is 5x-7y+...

    Text Solution

    |

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

    Text Solution

    |

  10. Find the direction cosines of the normal to the plane is (3x-6y+2z=7.

    Text Solution

    |

  11. For each of the following planes, find the direction cosines of the no...

    Text Solution

    |

  12. Find the vector and Cartesian equations of the plane passing throgh th...

    Text Solution

    |

  13. Find the coordinates of the foot of the perpendicular drawn from the o...

    Text Solution

    |

  14. Find the co-ordinates of the foot of perpendicular and the length of p...

    Text Solution

    |

  15. Find the length of the foot of the perpendicular from the point (1,1,2...

    Text Solution

    |

  16. From the point P(1,2,4) a perpendicular is drawn on the plane 2x+y-2z+...

    Text Solution

    |

  17. Find the coordinates of the foot of the perpendicular and the perpendi...

    Text Solution

    |

  18. Find the coordinates of the image of the point P(1, 3, 4) in the plane...

    Text Solution

    |

  19. Find the point where the line (x-1)/2=(y-2)/-3=(z+3)/4 meets the plane...

    Text Solution

    |

  20. find the coordinates of point where the line through (3,-4,-5) and (2,...

    Text Solution

    |