Results 1 to 2 of 2

Math Help - 3D perpendicular distance

  1. #1
    jut
    jut is offline
    Junior Member
    Joined
    Jul 2007
    Posts
    33

    3D perpendicular distance

    Given three points P1(-2, 0, 3), P2(0, 4, -1), and P3(3, 1, 3) find the perpendicular distance from point P3 to the line joining P1 and P2.

    I have two tools; the dot and cross product. But I'm not seeing how to use them to obtain the \perp distance.

    {answer on this side of wall}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,904
    Thanks
    1756
    Awards
    1
    Quote Originally Posted by jut View Post
    Given three points P1(-2, 0, 3), P2(0, 4, -1), and P3(3, 1, 3) find the perpendicular distance from point P3 to the line joining P1 and P2.
    For ease of notation let \mathcal{A}=\overrightarrow {P_1 P_2 }~\&~\mathcal{B}=\overrightarrow {P_1 P_3 } .
    Then the distance you need is \frac{||\mathcal{A}\times\mathcal{B}||}{||\mathcal  {A}||}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Coordinate geometry and perpendicular distance
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: October 26th 2010, 05:03 AM
  2. Perpendicular distance from point and plane question
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: March 2nd 2009, 05:39 PM
  3. Perpendicular distance between two lines
    Posted in the Geometry Forum
    Replies: 4
    Last Post: December 2nd 2008, 05:47 PM
  4. Replies: 3
    Last Post: September 13th 2008, 07:28 PM
  5. The perpendicular distance-vector
    Posted in the Geometry Forum
    Replies: 1
    Last Post: July 24th 2006, 06:46 AM

Search Tags


/mathhelpforum @mathhelpforum