## Vector Operations

**READ** the instructions on the *right* and **INTERACT** with the GeoGebra applet below.

Steve Phelps, 2008, Created with GeoGebra

## Investigation Steps

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.