The outer product according to Grassmann

By dragging the 3 red interactive points you can change the position and orientation of the 2 vectors a and b. Observe how the outer product a^b changes size and sign.

Please enable Java for an interactive construction (with Cinderella).

Compare the animated version showing the dependence on the direction of the vector b.

[ GA with Cinderella ]

Soli Deo Gloria. Created with Cinderella by E. Hitzer (Fukui).