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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.
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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>



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