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Aug 29, 2017 at 6:07 comment added Selene Routley @Omry Possibly: I'm just trying to motivate the bald statement that "this is simply the definition" and give a reader a lead for further reading. "That's just how it is" is always a bit unsatisfying without some motivation at least. If you can think of a better way, I'd love to see an answer: there's surely some intuition we can add here and to my mind the directed parallelogram is the best geometrical motivation one can think of.
Aug 29, 2017 at 4:51 comment added Omry This is all true, but I think discussing things such as Hodge dual would just confuse the average physics student.
Aug 29, 2017 at 1:41 history answered Selene Routley CC BY-SA 3.0