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Vectors
Hey guys, Can you help me out with this one. I want to prove the that the cross product is equal to its components, . A thing I find Annoying is that most books just say, we define the dot product in component form as "" or we define the cross product in component form as " ". What nonsense, whos to say what its defined as. The equal sign demands a REASON why, not just a definition. Stewart provided a good geometric proof of why this is true in component form for the dot product. Here is what he has for the cross product:O.K., this is fine by me, but one problem, we ASSUMED that the distributive law holds for So to make me happy, I would like t











