An Interactive Applet powered by Sage and MathJax.
(By Prof. Gregory V. Bard, based on a suggestion by Sepideh Stewart)
On this page, we're going to try to visualize the span of 2 vectors in ordinary 3-dimensional space.
Now we've going to see what the span looks like for 2 particular vectors, and it turns out that it is a plane in most cases. However, if the two vectors happen to be linearly dependent then it will be a line.
The neat thing about this applet is that you can drag the picture around and view it from many different angles. Also, you can change the vectors used.