       how to identify plane and measuring planar area

• To: mathgroup at smc.vnet.net
• Subject: [mg69224] how to identify plane and measuring planar area
• From: "T Harris" <tdh1967 at bellsouth.net>
• Date: Sun, 3 Sep 2006 01:39:09 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```I am taking linear algebra and I have questions about the following code.
Can someone run it and help me here?  These are the two questions --> (1)
How do I measure the planar area of this flat thing?  (2)  What plane does
this ellipsoid plot out on?

What would I do in any case like this in the future to determine the plane?

In:=
{xstretch,ystretch,zstretch} = {1.5,0.8,0};
ranger=1.5;
{slow,shigh} = {0,Pi};
{tlow,thigh} = {0,2 Pi};

hungellipsoidplot =
ParametricPlot3D[  xstretch   Sin[s]  Cos[t]  perpframe +
ystretch  Sin[s] Sin[t]  perpframe +
zstretch  Cos[s]perpframe, {s,slow,shigh},{t,tlow,
thigh},

PlotRange->{{-ranger,ranger},{-ranger,ranger},{-ranger,ranger}},
Axes->True,AxesLabel->{"x","y","z"},
Boxed->False,ViewPoint->CMView,DisplayFunction->Identity];

setup =Show[hungellipsoidplot,frameplot,Axes3D[ranger],
DisplayFunction->\$DisplayFunction];

Show[setup, ViewPoint -> 12 perpframe];

```

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