How to ParametricPlot3D a plane given Normal and Distance
- To: mathgroup at smc.vnet.net
- Subject: [mg84684] How to ParametricPlot3D a plane given Normal and Distance
- From: John Rivers <first10 at btinternet.com>
- Date: Wed, 9 Jan 2008 03:52:29 -0500 (EST)
hello
this has eluded me for some reason ...
nx = 0; ny = 0; nz = 1; (* plane's surface normal *)
dist = 0; (* distance of plane from origin *)
fx1 = ???;
fx2 = ???;
fx3 = ???;
ParametricPlot3D[
{fx1, fx2, fx3}, (* functions for x y and z coordinates *)
{t, -10, 10},
{u, -10, 10}
]
what should the functions fx1 fx2 and fx3 be ?
i have been playing around with:
Ax + By + Cz = D
- and -
<x, y, z> dot <nx, ny, nz> = D
but not got anywhere yet
thanks
John