Vector Operations

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

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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.