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
--
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