Re: ParametricPlot3D - plane appears contracted in some directions
- To: mathgroup at smc.vnet.net
- Subject: [mg108733] Re: ParametricPlot3D - plane appears contracted in some directions
- From: dh <dh at metrohm.com>
- Date: Mon, 29 Mar 2010 06:57:47 -0500 (EST)
- References: <hopv0d$r6p$1@smc.vnet.net>
Hi, your vectors are not orthogonal. Therefore the do not constitute an orthogonal basis as you assume. cheers, Daniel On 29.03.2010 12:22, nevjernik wrote: > 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 > > > -- Daniel Huber Metrohm Ltd. Oberdorfstr. 68 CH-9100 Herisau Tel. +41 71 353 8585, Fax +41 71 353 8907 E-Mail:<mailto:dh at metrohm.com> Internet:<http://www.metrohm.com>