READ the instructions on the right and INTERACT with the GeoGebra applet below.
Steve Phelps, 2008, Created with GeoGebra
You can move the Grey Vertical Bar to see more of the grid.
In the sketch below are vectors u and v. To change the vectors, you drag the points at the tips.
In the ALGEBRA INPUT line, enter the following (one at a time), drag u and v around, and spend some time observing the behavior of the resulting vector.
(1) u + v
(2) u - v
(3) v - u
(4) 2*u + 3*v
(5) 2/3*u + 1/3*v
Go back and try to construct a PARALLELOGRAM using u and v as two adjacent sides.