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Michael Lopatecki
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Geometry Of Vectors Direction
Michael Lopatecki3y*10

The orientation of the 3 basis bivectors in the diagram is not consistent. The third pair should be (z,x). Note the order. It reflects the orientation that the bivector will take. The first factor in the geometric product zx, namely z, gives the direction for the pathway around the unit bivector. So the orientation of this bivector will be reversed from the one you show. This way each bivector has a different direction from its neighbor along the edge they share in common. It may sound contradictory but it ensures that all 3 bivectors have a similar orientation. Do the right hand screwdriver rule to check.

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