Education and Didactics

    

On the Decomposition of a Vector Using Matrix Algebra

Authors: Aloys J. Sipers, Joh. J. Sauren

In this letter a theorem is stated on the decomposition of a vector with respect to two axes using matrix algebra. This theorem may serve to develop exercises for education in mathematics and physics. In most physics exercises the vectors are given by their polar coordinates. Motivated by practical applications, we denote the vectors by their Cartesian coordinates. Using Cartesian coordinates provide a didactic aid to develop exercises which can be solved without the use of a calculator. Several examples clarify the educational potential of the theorem.

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[v1] 2022-06-17 20:40:51

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