Results 1 to 4 of 4

Math Help - How to find a point on a plane given its scalar equation?

  1. #1
    Newbie
    Joined
    Jul 2011
    Posts
    15

    How to find a point on a plane given its scalar equation?

    So I have a scalar equation of 3x-2y+5z-2=0. Apparently a point on this plane is (0, 0, 2/5) according to the answers. How can you determine this given only the equation? Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    11,863
    Thanks
    639

    Re: How to find a point on a plane given its scalar equation?

    Quote Originally Posted by AFireInside View Post
    So I have a scalar equation of 3x-2y+5z-2=0. Apparently a point on this plane is (0, 0, 2/5) according to the answers. How can you determine this given only the equation? Thanks.
    because the values given for (x,y,z) work in the equation

    3(0) - 2(0) + 5\left(\frac{2}{5}\right) - 2 = 0
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Dec 2011
    Posts
    83
    Thanks
    7

    Re: How to find a point on a plane given its scalar equation?

    Are you asking how you can verify that a point is on that plane? That is easy: Just plug in the values of x, y and z of the point into the equation above and see if it holds. In your case, you have x=0, y=0 and z=2/5.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,957
    Thanks
    1631

    Re: How to find a point on a plane given its scalar equation?

    Or, if you are only concerned with finding a single point on the plane, choose whatever numbers you like for any two of x, y, and z, put them into the equation, and solve for the remaining variable. For example, putting x= 0, y= 0 into the equation 3x+ 2y+ 5z- 2= 0 gives 5x- 2= 0 so that x= 2/5. Or, if you put x= 0, z= 2/5 into the equation you get 2y+ 2- 2= 0 which reduces to y= 0.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 4
    Last Post: May 26th 2010, 10:48 AM
  2. Replies: 2
    Last Post: April 8th 2010, 06:32 PM
  3. Scalar equation of a plane
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: April 13th 2008, 09:55 PM
  4. Scalar Equation of a Plane
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 27th 2008, 12:04 AM
  5. Scalar Equation of a line in a Plane
    Posted in the Geometry Forum
    Replies: 1
    Last Post: October 14th 2007, 08:55 AM

Search Tags


/mathhelpforum @mathhelpforum