Vector bivector duality

The light blue bivector x.I3 is the dual of the blue vector x. x is perpendicular to x.I3. The yellow vector (x.I3).I3 is the dual of the bivector x.I3. The vector (x.I3).I3 is antiparalell to x, because I3.I3 = -1.

You can change the position of x by interactively dragging its bright red endpoint with the mouse.

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

The basic idea for this applet stems from the "DEMOdual" in Dorst, Mann and Bouma's geometric algebra MATLAB tutorial GABLE.

[ GA with Cinderella ]

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