Results 1 to 2 of 2
Like Tree2Thanks
  • 2 Post By HallsofIvy

Math Help - Finding The Equation To A Plane

  1. #1
    Member
    Joined
    May 2011
    Posts
    178
    Thanks
    6

    Finding The Equation To A Plane

    Hello,

    The problem I am working on is example number two, given on this webpage
    http://www2.gcc.edu/dept/math/facult...e_examples.pdf

    What I don't quite understand is, how did they find the point (-1,0, \sqrt{3}), without resorting to a guess-and-check method?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    14,973
    Thanks
    1121

    Re: Finding The Equation To A Plane

    The article says that "If the plane makes an angle of \frac{\pi}{6} with the x-axis, then the normal vector makes an angle of \frac{\pi}{6}+ \frac{\pi}{2}= \frac{2\pi}{3}" (adding the \pi/2 for the right angle of the normal vector). The x-coordinate of such a vector is cos(2\pi/3)= -1/2, the y-coordinate is 0 because the plane contains the y-axis, and the z coordinate is sin(2\pi/3)= \sqrt{3}/2). That would give vector <-1/2, 0, \sqrt{3}/2>. They have simplified slightly by multiplying by 2 which changes the length but not the direction of the vector.
    Last edited by HallsofIvy; June 7th 2013 at 03:47 PM.
    Thanks from Bashyboy and topsquark
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding equation of plane?
    Posted in the Pre-Calculus Forum
    Replies: 19
    Last Post: November 16th 2010, 03:51 AM
  2. Finding the equation of a plane
    Posted in the Calculus Forum
    Replies: 4
    Last Post: June 5th 2010, 06:09 PM
  3. finding equation of plane
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 11th 2009, 02:14 PM
  4. Finding equation of a plane
    Posted in the Calculus Forum
    Replies: 2
    Last Post: August 10th 2008, 08:42 AM
  5. Finding an equation of the plane.
    Posted in the Calculus Forum
    Replies: 3
    Last Post: March 7th 2008, 01:26 AM

Search Tags


/mathhelpforum @mathhelpforum