Open AccessQUATÉRNIONS E AS ROTAÇÕES NO ESPAÇO
Author(s) -
Amanda Santos Silva,
Juliano Ferreira de Lima,
Antônio Carlos Tamarozzi
Publication year - 2015
Publication title -
colloquium exactarum
Language(s) - English
Resource type - Journals
ISSN - 2178-8332
DOI - 10.5747/ce.2015.v07.n4.e142
Subject(s) - political science , philosophy
The Quaternions were created in 1843 by W. R. Hamilton and its use,\udalthough not much publicized, it is not new. Basically, quaternions can\udbe seen as an algebraic extension of complex numbers, in which it has\udthree imaginary components instead of one, may be represented by\uḋ = + ⃗ + ⃗ + ⃗⃗ = (, ⃗), where a is a scalar and (, , )\udare the vector components ⃗.\udOnce specified some properties and basic operations, from this\uddefinition, we can prove that this initial concept, allowing the\udcorrelation between the algebra of quaternions. In this context, the\udaim of this paper is to present some basic concepts related to the\udAlgebra of Quaternions, pointing out some aspects of this\udrepresentation.\ud\u