# Mathematica and Vector Representation of Planes

If the vectors $\vec{u}$ and $\vec{v}$ emanate from a point $A$, then its equation is

$\hspace{2in}$$x = A + su + tv$,

where $s, t \in \mathbb{R}$. I'm wondering how I can display these planes in Mathematica.

Thank you, Kaster (see below).

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Please consider marking your question as solved. –  Kaster Feb 22 '13 at 20:50
If you have a different question, please post a new question by using the Ask Question link to the top right of the page. Do not demolish an old answered question with a new one. This makes the existing answers nonsensical. –  Willie Wong Apr 12 '13 at 8:15

This is math.SE, not Mathematica.SE. But your question is simple enough so I can give you an answer

a1 = 1;
a2 = 2;
a3 = 3;
u1 = 1;
u2 = 2;
u3 = 3;
v1 = 4;
v2 = 5;
v3 = 6;
ParametricPlot3D[{a1 + s*u1 + t*v1, a2 + s*u2 + t*v2,a3 + s*u3 + t*v3}, {s, -10, 10}, {t, -10, 10}, AspectRatio -> Automatic]

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I'm not sure what you mean when you say "[t]his is math.SE not Mathematica.SE." –  Trancot Feb 22 '13 at 20:42
If by Mathematica you mean software, then there's whole stackexchange network for this kind of questions - matematica.se –  Kaster Feb 22 '13 at 20:47
What is ".SE" though? –  Trancot Feb 22 '13 at 20:50
SE stands for Stackexchange. Have you followed the link I posted? –  Kaster Feb 22 '13 at 20:51
Oh, sorry. I glossed over it too quickly and didn't notice. Thank you. –  Trancot Feb 22 '13 at 20:57