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The inner product of a vector x with a bivector B

gives a vector x.B which is contained in the bivector plane of B,
but perpendicular to the projection of x onto B, which is x_p = (x.B)/B.

You can change the vector x by interactively dragging the bright red point with the mouse.

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

[ GA with Cinderella ]

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