Re: Plane Visualisation... ?
- To: mathgroup at smc.vnet.net
- Subject: [mg27549] Re: Plane Visualisation... ?
- From: "Allan Hayes" <hay at haystack.demon.co.uk>
- Date: Wed, 7 Mar 2001 04:07:46 -0500 (EST)
- References: <97qbsk$ndb@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
"Sandman" <leigh.robinson at btinternet.com> wrote in message news:97qbsk$ndb at smc.vnet.net... > Given three linear equations of planes in the form > > ax + by + c z = d > > > is it possible for mathematica to plot them all on one graph.... so i can > interpret the solutions of the system graphically... ?? > > > > > > any help is appreciated... > > -sandman Yes, once you have plotted them separately and got outputs gr1, gr2 , gr3 sayt, then Show[gr1,gr2,gr3] will show them together: You may want to find the solution first, to decide on the range that you want to plot over. Lets suppose that this is {{x0,x1},{y0,y1},{z0,z1}} If c != 0 then we can plot giving a name to the output but notshowing. gr =ParametricPlot3D[{x, y, d - a x - by}, {x,x0,x1},{y,y0,y1}, PlotRange -> {{x0,x1},{y0,y1},{z0,z1}}, DisplayFunction -> Identity] similarly for other possibilities , except a = b = 0. This will give three outputs, say gr1,gr2, gr3. You can show these together using Show[gr1, gr2, gr3, DisplayFunction :> $DisplayFunction] To do the same sort of thing with non-linear equations you can use the package Graphics`ContourPlot3D`. -- Allan --------------------- Allan Hayes Mathematica Training and Consulting Leicester UK www.haystack.demon.co.uk hay at haystack.demon.co.uk Voice: +44 (0)116 271 4198 Fax: +44 (0)870 164 0565