1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Equation of Plane Question

  1. Nov 23, 2004 #1

    Given the plane 2x + y - z = 4, find its parametric equations.

    This question seems simple, but the solution is not coming to me. I know the normal is (2,1,-1). But how do I find out the direction vectors and the points for the parametric equations?
  2. jcsd
  3. Nov 23, 2004 #2
    I would suggest finding three points on the plane and create two direction vectors and a point for your parametric equation. The easiest three points would be the intercepts. if y and z are 0, the co-ordinate becomes: (2,0,0). Using a similar process, you can find the two other intercepts, which are:
    (2, 0, 0)
    (0, 4, 0)
    (0, 0, -4)

    Thus, you can create two direction vectors and a third point. I think there is an easier way to approach this, but for now it eludes me.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook