Shoelace formula: Connecting the area of a polygon and the vector cross product

• Autores: Younhee Lee, Woong Lim, Daniel Ness (ed. lit.), Nick Wasserman (ed. lit.), Benjamin Dickman (ed. lit.)
• Localización: Mathematics teacher, ISSN-e 2330-0582, ISSN 0025-5769, Vol. 110, Nº 8, 2017, págs. 631-636
• Idioma: inglés
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• Resumen

  • Understanding how one representation connects to another and how the essential ideas in that relationship are generalized can result in a mathematical theorem or a formula. In this article, we demonstrate this process by connecting a vector cross product in algebraic form to a geometric representation and applying a key mathematical idea from the relationship to prove the Shoelace theorem.