Home
Class 12
MATHS
Find the coordinates of the foot of the ...

Find the coordinates of the foot of the perpendicular and the perpendicular distance from the point P(3,2,1) to the plane `2x-y+z+1=0`.

Text Solution

Verified by Experts

The correct Answer is:
(1,3,0) units,`sqrt(6)` units, `(-1,4,-1)`
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 coordinates of the foot of the perpendicular and the perpendicular distance of the point P(3,2,1) from the plane 2x-y+z+1=0. Find also,the image of the point in the plane.

Find the co-ordinates of the foot of the perpendicular and the perpendicular distance of the point (1,3,4) from the plane 2x -y + z + 3 = 0. Find also, the image of the point in the plane.

Find the co-ordinates of the foot of perpendicular and its perpendicular distance drawn from the point (1,3,4) to the plane 2x-y+2+3=0. Also find the image of the point (1,3,4) in the plane.

Find the co-ordinates of the foot of perpendicular and the length of perpendicular drawn from the point (2,3,7) to the plane 3x-y-z=7 .

Find the perpendicular distance from the point (1,-3,4) to the plane 3x-4y+12z - 1 = 0 .

Find the perpendicular distance from the point P(2, 3, -4) to the plane x+ 2y + 3z = 13.

perpendicular distance of the point (0,0,0) from the plane 2x-3y+6z+14=0

Find the equation of plane through the point (1,2,1) and perpendicular to line joining points (1,4,2) and (2,3,5). Also,find the coordinates of foot of the perpendicular and the perpendicular distance of the point (4,0,3) from above found plane.

Find coordinates of the foot of perpendicular, image and equation of perpendicular drawn from the point (2,3) to the line y=3x-4

RS AGGARWAL-THE PLANE-Exercise 28B
  1. For each of the following planes, find the direction cosines of the no...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. Find the distance of the point (2,3,4) from the plane 3x+2y+2z+5=0 mea...

    Text Solution

    |

  12. Find the distance of the point (0,-3,2) from the plane 3x+2y+2z+5=0, ...

    Text Solution

    |

  13. Find the equation of the line passing through the point "P"(4,6,2) ...

    Text Solution

    |

  14. Show that the distance of the point of intersection of the line (x-2)/...

    Text Solution

    |

  15. Find the distance of the point (-1,-5,-10) from the point of the inter...

    Text Solution

    |

  16. Prove tht the normals to the planes 4x+11y+2z+3=0 and 3x-2y+5z=8 are p...

    Text Solution

    |

  17. Show that the line vecr=(2hati-2hatj+3hatk)+lambda(hati-hatj+4hatk) is...

    Text Solution

    |

  18. Find the equation of a plane which is at a distance of 3\ sqrt(3) unit...

    Text Solution

    |

  19. A vector vec n f magnitude 8 units is inclined to x-axis at 45^0 , y-...

    Text Solution

    |

  20. Find the equation of a line passing through the point (2hati-3hatj-5h...

    Text Solution

    |