Results 1 to 2 of 2

Math Help - Cartesian equation of a plane

  1. #1
    Newbie
    Joined
    Apr 2010
    Posts
    18

    Cartesian equation of a plane

    Hi, we are told that Y is a plane in R3 and contains the Point P(-1,3,7) and a line given by the equation (x-1)/2 = (y+1)/2 = z/3.

    How would we use this information to work out the cartesian equation of the plane Y?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Lord of certain Rings
    Isomorphism's Avatar
    Joined
    Dec 2007
    From
    IISc, Bangalore
    Posts
    1,465
    Thanks
    6
    You can use the following ideas:

    1)Any plane in \mathbb{R}^3 is of the form ax+by+cz+d = 0 and the point P satisfies it.

    2) For t \in \mathbb{R}, x = 2t+1, y  = 2t - 1, z = 3t. Why is this true?

    Can you solve for a,b,c,d?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Cartesian equation of plane.
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 29th 2011, 04:12 PM
  2. Cartesian Equation of a Plane
    Posted in the Geometry Forum
    Replies: 1
    Last Post: May 5th 2010, 05:41 AM
  3. Cartesian equation of plane
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 13th 2010, 04:54 AM
  4. Cartesian Equation of a Plane
    Posted in the Algebra Forum
    Replies: 2
    Last Post: April 5th 2010, 07:28 AM
  5. Cartesian Equation for a plane
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 27th 2009, 11:19 AM

Search Tags


/mathhelpforum @mathhelpforum