Thread: Drawing a plane

How can I draw a plane with 2 vectors coming out of it from one point at 2 different angles?

It is a plane of the form ax + by + cz = 0 with 2 vectors <a,b,c> and <u,v,w> coming out of the plane from the same point.

Originally Posted by dwsmith

How can I draw a plane with 2 vectors coming out of it from one point at 2 different angles?
It is a plane of the form ax + by + cz = 0 with 2 vectors <a,b,c> and <u,v,w> coming out of the plane from the same point.

Actually that question really is confused.
For one, there is only one angle between any two vectors.

A plane contains the origin .
But more important, the vector is perpendicular to any vector parallel to that plane.

Now maybe you can rephrase the question.

Originally Posted by Plato

Actually that question really is confused.
For one, there is only one angle between any two vectors.

A plane contains the origin .
But more important, the vector is perpendicular to any vector parallel to that plane.

Now maybe you can rephrase the question.

By 2 different angles, I meant that <a,b,c> comes out at a 90 degree angle and the other one comes from the same point at some other angle.

Originally Posted by dwsmith

By 2 different angles, I meant that <a,b,c> comes out at a 90 degree angle and the other one comes from the same point at some other angle.

Well that is somewhat clearer.
So to the OP.
Any two non-parallel vectors and a point determine a unique plane.
Given vectors and point
the plane they determine is

Originally Posted by Plato

Well that is somewhat clearer.
So to the OP.
Any two non-parallel vectors and a point determine a unique plane.
Given vectors and point
the plane they determine is

I am trying to draw this with the tikz latex package.

As far as I know, LaTeX is a text formating language (with some diagram capabilities), not a "graphics" program. There is no way of "drawing" in LaTeX except by inserting graphics created through another program.