Results 1 to 2 of 2

Math Help - Point of intersection of a line with plane

  1. #1
    Member Altair's Avatar
    Joined
    Jan 2008
    Posts
    87

    Point of intersection of a line with plane

    Find the coordinates of the point where the line x = 2 - 3t, y = 1 + t, z = 4 - t intersects the plane 2x - 3y + z = -16

    Please explain the solution with the logic behind it.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Nov 2008
    Posts
    7
    Just substiture the parametric values of x y and z into the deifnition of the plane so:-

    becomes
    2(2-3t) - 3(1+t) + (4-t) = -16

    multiply out and gather terms yields
    10t=21
    t=2.1
    So the line intersects theplane at the parametric value t = 2.1 which defines all the values of x, y and z
    (x,y,z) = (-4.3,3.1,1.9)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Position vector of point of intersection of line and plane
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: July 1st 2010, 04:14 AM
  2. Intersection point of a line and a plane
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 20th 2010, 04:28 PM
  3. 2D plane intersection point
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: November 17th 2009, 06:35 AM
  4. Replies: 2
    Last Post: November 8th 2009, 09:33 AM
  5. Intersection of line with YZ plane
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: May 25th 2009, 12:46 PM

Search Tags


/mathhelpforum @mathhelpforum