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Geometry |
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Authors: James A. Smith
To help fill the need for examples of introductory-level problems that have been solved via Geometric Algebra (GA), we show how to calculate the angle through which a given vector must be rotated in order that its endpoint be at a given distance d from a specified point P. The three solution methods that are employed here start from a trigonometric equation is derived from GA’s formula for rotating vectors. The first two solutions use methods that are "automatic", but produce formulas that are not readily interpreted. In contrast, the third method —which does produce a readily interpreted formula— is based upon an examination of the geometric significance of terms in the initial trigonometric equation.
Comments: 11 Pages. (Note by viXra Admin: The name on the Submission Form and article in pdf should be the same - Please conform in the future)
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[v1] 2022-07-28 22:20:37
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