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Type: Artigo de periódico
Title: On The Origins Of The Scalar And Vectorial Product Definitions [sobre As Origens Das Definições Dos Produtos Escalar E Vetorial]
Author: Menon M.J.
Abstract: The operations of two vector multiplication (the scalar and vector products) are introduced in physics and mathematics textbooks just as a definition, without any reference or discussion on the formal reasons and/or motivations that have led to these structures. In this work, a short pedagogical review on the origins of these definitions is presented. We discuss the formal results obtained by Hamilton in the context of quaternionic algebra and some "changes" performed by Gibbs and Heaviside, leading to what is now usually known as "vector algebra". We present comments on some disadvantages of these "changes", referring to more practical and formal systems (Grasmmann and Clifford algebras). Some basic and recent works on the subject are also mentioned and commented. Copyright by the Sociedade Brasileira de Física. Printed in Brazil.
Rights: aberto
Identifier DOI: 10.1590/S1806-11172009000200006
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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