Results 1 to 3 of 3

Math Help - Plane Equation

  1. #1
    Del
    Del is offline
    Member
    Joined
    Nov 2007
    Posts
    83

    Plane Equation

    Write an equation of the plane with normal vector passing through the point in scalar form:
    -6x+(-7)y+(-3)z+180

    This answer is incorrect. I found d to be 60, but I can't get it right - please help!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Spec's Avatar
    Joined
    Aug 2007
    Posts
    318
    D is indeed 60. If you subtract 180 from 240 you get 60, and

    (-6)x + (-7)y + (-3)z = D
    (-6)\cdot 2 + (-7)\cdot (-9) + (-3)\cdot (-3) = 60 = D
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,706
    Thanks
    1637
    Awards
    1
    If n = \left\langle { - 6, - 7, - 3} \right\rangle is the normal the we can use any multiple, so let n = \left\langle { 6, 7, 3} \right\rangle.
    The general plane is 6x + 7y + 3z + d = 0.
    Now substitute the point to find d: 6(2) + 7( - 9) + 3( - 3) + d = 0 \Rightarrow \quad d = 60.

    Dee, May I ask: "Do you have an instructor and/or a textbook?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: March 1st 2011, 07:57 PM
  2. Replies: 3
    Last Post: December 5th 2010, 05:46 PM
  3. Replies: 3
    Last Post: October 12th 2010, 05:06 AM
  4. Replies: 4
    Last Post: May 26th 2010, 10:48 AM
  5. Replies: 2
    Last Post: May 23rd 2010, 10:46 AM

Search Tags


/mathhelpforum @mathhelpforum