Re: ParametricPlot3D - plane appears contracted in some directions
- To: mathgroup at smc.vnet.net
- Subject: [mg108754] Re: ParametricPlot3D - plane appears contracted in some directions
- From: "David Park" <djmpark at comcast.net>
- Date: Tue, 30 Mar 2010 05:01:59 -0500 (EST)
And you can use Orthogonalize to obtain a better set of vectors. {vector3, vector4} = Orthogonalize[{vector1, vector2}] Show[ParametricPlot3D[{u vector3 + v vector4}, {u, -10, 10}, {v, -10, 10}, AxesOrigin -> {0, 0, 0}], ParametricPlot3D[2 Cos[t] vector3 + 2 Sin[t] vector4, {t, 0, 2 Pi}, PlotStyle -> {Thick, Green}]] David Park djmpark at comcast.net http://home.comcast.net/~djmpark/ From: nevjernik [mailto:hajde.da at mijenjamo.planetu] Consider following simple piece of code which should represent plane determined by two vectors: ******* Code Start ********** vector1 = {1, 2, 3} vector2 = {2, 3, 4} ParametricPlot3D[{u vector1 + v vector2}, {u, -10, 10}, {v, -10, 10}] ******* Code End ************ Question: Why with this code I get some kind of "deformed" plane apparently contracted in some directions, in a sense that distances of points doesn't appear equal in all directions. It can be better seen with circle of radius 2 drawn in that plane: ******* Code Start ********** vector1 = {1, 2, 3} vector2 = {2, 3, 4} Show[ParametricPlot3D[{u vector1 + v vector2}, {u, -10, 10}, {v, -10, 10}, AxesOrigin -> {0, 0, 0}], ParametricPlot3D[2 Cos[t] vector1 + 2 Sin[t] vector2, {t, 0, 2 Pi}, PlotStyle -> {Thick, Green}]] ******* Code End ************ I tried to use options like PlotRange, or BoxRatios, but with no efect on plane or circle. What I am doing wrong or missing? Thanks -- ne vesele mene bez vas utakmice nedjeljom