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Geometry |
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Authors: James Smith
Unfortunately, some students, teachers, and even physicists object to the "addition" of scalars and bivectors on the basis that we cannot add things that are not of the same type. Perhaps the objection is not so much to the operation itself, as to the use of the name "addition" for this operation. Still, the operation interacts with others in unfamiliar ways that might cause discomfort to the student. This document explores those potential sources of discomfort, and notes that no problems arise from this unusual "addition" because the developers of GA were careful in choosing the objects (e.g. vectors and bivectors) employed in this algebra, and also in defining not only the operations themselves, but their interactions with each other. The document finishes with an example of how this "addition" proves useful.
Comments: 5 Pages.
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[v1] 2020-11-11 21:04:51
[v2] 2020-11-12 10:59:22
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