Results 1 to 3 of 3

Math Help - Distance of plane to origin

  1. #1
    Madshan
    Guest

    Distance of plane to origin

    Hi,

    I am trying to determine the distance of the plane 5x+2y+z=10 from the origin? Thank you.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member malaygoel's Avatar
    Joined
    May 2006
    From
    India
    Posts
    648
    Quote Originally Posted by Madshan View Post
    Hi,

    I am trying to determine the distance of the plane 5x+2y+z=10 from the origin? Thank you.
    there are two methods:
    either use the direct formula
    or use your basic concepts.
    I will tell you the second method.

    Imagine a point P on the plane.
    Join O and P.
    Find the drs of OP.
    For OP to be the shortest distance botween two planes, OP should have the drs that the normal to the plane has.
    Using this, use can find your answer.

    Try it.
    If you get stuck anywhere in between, I will you the solution.

    Keep Smiling
    Malay
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Global Moderator

    Joined
    Nov 2005
    From
    New York City
    Posts
    10,616
    Thanks
    9
    Quote Originally Posted by Madshan View Post
    Hi,

    I am trying to determine the distance of the plane 5x+2y+z=10 from the origin? Thank you.
    The standard equation of the plane is,
    5x+2y+z-10=0
    So the distance formula says, distance from origin is,
    \frac{|5(0)+2(y)+(0)-10|}{\sqrt{5^2+2^2+1^2}}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Vector parallel to plane? Goes through origin?
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: May 24th 2011, 02:55 PM
  2. Distance to the origin
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: November 4th 2010, 02:41 PM
  3. Show span is a plane through origin
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 16th 2010, 03:05 PM
  4. Replies: 10
    Last Post: September 27th 2009, 10:22 AM
  5. Distance of random walk from the origin
    Posted in the Advanced Statistics Forum
    Replies: 3
    Last Post: August 22nd 2009, 03:32 AM

Search Tags


/mathhelpforum @mathhelpforum