Results 1 to 3 of 3
Like Tree2Thanks
  • 2 Post By chiro

Math Help - Vector Equation Question

  1. #1
    Newbie SeerAlpha's Avatar
    Joined
    Feb 2013
    From
    United States
    Posts
    9

    Vector Equation Question

    Question:

    Find the vector equation of the line r = (0,2,-1)+t(1,0,1), t belongs to real numbers, reflected in the plane 2x-y+z-9 = 0.

    I am not sure on how to start solving this question and how do you reflect a line in a plane? What method would you use?

    Thank you for your help!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    4,186
    Thanks
    772

    Re: Vector Equation Question

    Hey SeerAlpha.

    What you are essentially doing is finding the vector that goes from the plane to the point which is normal to the plane, reversing it and adding two times the reverse vector to the point.

    To find the perpendicular distance between a point and a plane you calculate n . p where n is the plane normal (nx,ny,nz) [A unit normal vector] and p is the point in question.

    You then take your point and calculate p = p - n*2*d where n is the plane normal and d is the distance you calculated above.

    If you do this for a particular value of t and leave the final reflected point arbitrary you will get your solution.

    If you need a more intuitive explanation is going on I can help in that way as well.
    Thanks from SeerAlpha and topsquark
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie SeerAlpha's Avatar
    Joined
    Feb 2013
    From
    United States
    Posts
    9

    Re: Vector Equation Question

    Perfect I solved it Thanks for your help!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: April 6th 2013, 05:20 PM
  2. A vector equation question..
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 17th 2010, 05:17 AM
  3. Replies: 2
    Last Post: May 10th 2010, 09:39 AM
  4. Replies: 1
    Last Post: October 23rd 2008, 04:39 AM
  5. Converting scalar equation to vector equation
    Posted in the Calculus Forum
    Replies: 9
    Last Post: June 2nd 2008, 10:21 PM

Search Tags


/mathhelpforum @mathhelpforum