- The applet has a control window and a graphics windows called Vectors.
- The vectors U, V, and W are entered in the control window as
ordered
triples.

- Scalars a and b are scrollable with the vcr buttons. Values can also be typed in for these constants. The value CoeffientMax gives the maximum magnitude for these scalars.
- The value zoomFactor gives the scale of the axes.

Things to notice:

- A checkbox lets you add in the subspace of linear combinations of U and V.
- The vector W can be entered directly to see if it is in the space
of linear combinations of U and V. To see if W is a linear
combination of U and V, rotate the vectors window so you are looking at
the plane from the side.

- A readout gives the coordinates of the linear combination a*U+b*V.

This applet was designed as by modifying an applet from a demo by Tom Banchoff at Brown University. It is used with permission. Go to the Banchoff Applet Help page.

Return to the Banchoff Applet page.

Return to the SLU Calculus Applet page.

Return to the Saint Louis University Department of Mathematics and Computer Science home page

Last updated By Mike May, S.J. , October 6, 2006.