Results 1 to 2 of 2

Math Help - Intersection point of a line and a plane

  1. #1
    Member Em Yeu Anh's Avatar
    Joined
    Nov 2009
    Posts
    94

    Question Intersection point of a line and a plane

    Find the point where \frac{x-2}{5} = y = \frac{z+1}{3} intersects x+y-z=2.

    ??
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1574
    Awards
    1
    Quote Originally Posted by Em Yeu Anh View Post
    Find the point where \frac{x-2}{5} = y = \frac{z+1}{3} intersects x+y-z=2.
    Write the line as \left\{ \begin{gathered}  x(t) = 5t + 2 \hfill \\<br />
  y(t) = t \hfill \\  z(t) = 3t - 1 \hfill \\ \end{gathered}  \right.
    Now substitute into the plane and then solve for t.
    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, 03:14 AM
  2. 2D plane intersection point
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: November 17th 2009, 05:35 AM
  3. Intersection of line with YZ plane
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: May 25th 2009, 11:46 AM
  4. Point of intersection of a line with plane
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 2nd 2008, 08:16 AM
  5. Vectors: Intersection of a line and a plane
    Posted in the Calculus Forum
    Replies: 1
    Last Post: June 5th 2008, 08:59 PM

Search Tags


/mathhelpforum @mathhelpforum