# What is a good application for graphing vector spaces?

I am looking for a program to visualize vector spaces. Ideally this is in the set of real numbers. For instance what shape does the following vertex in $\Bbb R^3$ represent? Vertices are: $\{(1,0,0),(0,2,0),(0,0,0)\}$

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I believe it's a triangle in the $x-y$ plane... – user38268 Mar 10 '12 at 10:32
Do you want to visualize vector spaces, or points in $\mathbb{R}^3$? – utdiscant Mar 10 '12 at 10:43
@Benjamin Lim, X3 is a free variable. – Rook Mar 10 '12 at 18:37
@utdiscant vector spaces in R3, but if this program can't do points its useless. – Rook Mar 10 '12 at 18:37

You can use pretty much anything for such a simple task. I give two examples of powerful and free software packages. One is Scilab:

created with

points = [0 0 0; 1 0 0; 0 2 0; 0 0 0]; // repeated endpoint to close the curve
param3d(points(:,1),points(:,2),points(:,3));  // creates the plot
p=get("hdl"); p.foreground=2; p.thickness=3;  // cosmetics: color and thickness


The actual plot (but not this illustration) can be rotated with a mouse to better visualize the position of the points in space.

But if you prefer something with simpler syntax, the Sage command

point([(1,0,0),(0,2,0),(0,0,0)])


does the job.

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