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 $\displaystyle ax+by+cz=0$ contains the origin $\displaystyle (0,0,0)$.
But more important, the vector $\displaystyle <a,b,c>$ is perpendicular to any vector parallel to that plane.
Now maybe you can rephrase the question.