1. Not finding help here? Sign up for a free 30min 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!

Equation of plane

  1. Nov 10, 2012 #1
    The question and solution is in the paint doc. My concern was how did they find the equation of the plane without finding the vector normal to the plane? Im guessing they found the vector but left out the steps...
     

    Attached Files:

  2. jcsd
  3. Nov 11, 2012 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    They could find the normal vector, and got the equation of the plane using it.

    ehild
     
    Last edited: Nov 11, 2012
  4. Nov 11, 2012 #3

    SammyS

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    The equation for a plane can be given in the form, [itex]ax+by+cz=d\ .[/itex] Of course, one of those constants is arbitrary.

    Just plug-in the each set of coordinates for the three intercepts, individually, to find [itex]\displaystyle \frac{a}{d}\,,\ \frac{b}{d}\,\ \text{ and },\ \frac{c}{d}\,,\ [/itex] then find a convenient value to use for d.
     
  5. Nov 11, 2012 #4

    ehild

    User Avatar
    Homework Helper
    Gold Member

    That is much easier... :cool:

    ehild
     
  6. Nov 11, 2012 #5
    wouldn't it be a = d/x, b = d/y, and c = d/z where (x,y,z) are points on the plane and <a,b,c> is the normal vector
    hence if (x,y,z) = (0,0,z) then cz = d and c = d/z .... you can do the same for a and b components of the normal.
     
  7. Nov 11, 2012 #6

    SammyS

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Gold Member

    For the x-intercept, x=1, y=0, and z=0.

    Therefore, a(1) + 0 + 0 = d  →  a/d =1,  etc.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Equation of plane
  1. Equation of a plane (Replies: 17)

  2. Equation of plane (Replies: 4)

  3. Equation of a plane (Replies: 2)

  4. Equations of a Plane (Replies: 2)

  5. Equations of Planes (Replies: 3)

Loading...