A proof of van Aubel's theorem using orthogonal vectorsGlaister, P. (2016) A proof of van Aubel's theorem using orthogonal vectors. International Journal of Mathematical Education in Science and Technology, 47 (3). pp. 440-443. ISSN 1464-5211 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1080/0020739X.2015.1049231 Abstract/SummaryWe show how two linearly independent vectors can be used to construct two orthogonal vectors of equal magnitude in a simple way. The proof that the constructed vectors are orthogonal and of equal magnitude is a good exercise for students studying properties of scalar and vector triple products. We then show how this result can be used to prove van Aubel's theorem that relates the two line segments joining the centres of squares on opposite sides of a plane quadrilateral.
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