Results 1 to 3 of 3
Like Tree1Thanks
  • 1 Post By TKHunny

Thread: Planes and Lines II

  1. #1
    Newbie
    Joined
    May 2019
    From
    sweden
    Posts
    5

    Post Planes and Lines II

    Question 2: A lightbeam that originates from the point (3, -2, -1) is mirrored on the plane x - 2y -2z = 0. The mirrored lightbeam goes through the point (4, -1, -6). In what point did the lightbeam hit the plane?
    Last edited by topsquark; May 22nd 2019 at 01:48 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Aug 2007
    From
    USA
    Posts
    3,163
    Thanks
    47

    Re: Planes and Lines II

    Quote Originally Posted by accordingplum View Post
    Question 2: A lightbeam that originates from the point (3, -2, -1) is mirrored on the plane x - 2y -2z = 0. The mirrored lightbeam goes through the point (4, -1, -6). In what point did the lightbeam hit the plane?
    This appears to be exactly like problem #1. One more dimension, sure, but otherwise identical. Can you find a Normal Vector to the Plane?
    Thanks from topsquark
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Jun 2013
    From
    Lebanon
    Posts
    1,017
    Thanks
    519

    Re: Planes and Lines II

    Planes and Lines II-mirror.png


    $M$ is the projection of $\displaystyle L(3,-2,-1)$ onto the plane $\displaystyle x-2y-2z=0$

    $N$ is the projection of $\displaystyle Q(4,-1,-6)$ onto the same plane

    Hit the plane at $P$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Lines and Planes?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Feb 8th 2011, 12:25 PM
  2. Lines and Planes Help!
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: Oct 9th 2010, 10:41 AM
  3. Lines and Planes in 3D
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Jun 7th 2010, 01:45 AM
  4. Replies: 1
    Last Post: Apr 17th 2010, 11:52 PM
  5. lines/planes
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Sep 9th 2009, 05:03 AM

/mathhelpforum @mathhelpforum