The inverse of a bivector



Drag the endpoints of the solid arrows x and y to change the yellow bivector spanned by them, and its pink inverse. Try to find a configuration in which the two are obviously equal-sized, but of opposite orientation.

The circle is the unit circle of the Euclidean metric. For graphical convenience, the inverses have been denoted by primes.


Created with Cinderella by Leo Dorst 20010719.