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ParametricPlot3D - plane appears contracted in some directions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg108726] ParametricPlot3D - plane appears contracted in some directions
  • From: nevjernik <hajde.da at mijenjamo.planetu>
  • Date: Mon, 29 Mar 2010 05:22:55 -0500 (EST)

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




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