Abstract
A first approach to numerical vectors and the related axiomatics is achieved by the introduction of n-tuples of real numbers. This allows to deal with linear combinations and the concepts of linear dependence and independence. Then geometric vectors are presented and the structure of the set of numerical vectors and the set geometric vectors are compared. Peculiarities of vectors in the three-dimensional space are highlighted. The chapter is organized in order to settle the fundamentals of abstract vector space.
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Ventre, A.G.S. (2023). Geometric and Numeric Vectors. In: Calculus and Linear Algebra. Springer, Cham. https://doi.org/10.1007/978-3-031-20549-1_9
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DOI: https://doi.org/10.1007/978-3-031-20549-1_9
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Publisher Name: Springer, Cham
Print ISBN: 978-3-031-20548-4
Online ISBN: 978-3-031-20549-1
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