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

Younhee Lee, Woong Lim, Daniel Ness (ed. lit.), Nick Wasserman (ed. lit.), Benjamin Dickman (ed. lit.)

• 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.