###
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.

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).