A trivector (b^c)^a = a^b^c can according to Grassmann be visualized by displacing the bivector b^c parallel along the third linearly independent vector a. The resulting oriented volume of the paraleliped is the trivector.
Compare the two other ways to sweep out the same trivector: (a^b)^c and (c^a)^b.
Soli Deo Gloria. Created with Cinderella by Eckhard Hitzer (Fukui).