Re: ParametricPlot3D - plane appears contracted in some directions

• To: mathgroup at smc.vnet.net
• Subject: [mg108986] Re: ParametricPlot3D - plane appears contracted in some directions
• From: Narasimham <mathma18 at hotmail.com>
• Date: Fri, 9 Apr 2010 03:32:22 -0400 (EDT)
• References: <hopv0d\$r6p\$1@smc.vnet.net>

```On Mar 29, 3:22 pm, nevjernik <hajde... at mijenjamo.planetu> 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

In ParametricPlot3D three components are needed. So better:

vector1 = {1, 2, 3} ; vector2 = {2, 3, 4} ;Plot3D[{u vector1 + v
vector2}, {u, -10, 10}, {v, -10, 10}]

Narasimham

```

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