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Meet of planes

In geometric algebra the (red) "meet" M of two planes (characterized by bivectors A and B)
can be calculated with the help of the join J.
The join of two non-parallel planes is simply the three dimensional space characterized by the
trivector volume unit J = I3 (pseudoscalar). The meet is then:

M = (B/J).A = (B/I3).A

You can change the orientation of B by interactively dragging the dark green vector B/I3 with the mouse.

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

[ GA with Cinderella ]

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