Parallelogram Target Practice!

In the sketch below is shown two vectors, the matrix transformation for the vectors, a blue square, and a red image square.

Your task is to drag the vectors and the blue square in such a way that the red square fits exactly over each of the four target parallelograms! Can you do this in more than one way using a different combination of vectors and a different position for the square?

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and active in your browser (Click here to install Java now)

CHALLENGE! Repeat this without dragging the square!
Put the square in a spot, and just drag the vectors!

Steve Phelps, Created with GeoGebra