Abstract
The scalar product deepens the concepts of orthogonality and parallelism and contributes to an effective formalization. Indeed, the projections of a vector, the scalar product in function of the components, orthogonality in terms of the components, angles of line and vectors are studied. Furthermore, the equation of the plane is a natural consequence of the scalar product. The chapter is detailed, the proofs are agile and accompanied by examples and exercises.
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Ventre, A.G.S. (2023). Scalar Product. Lines and Planes. In: Calculus and Linear Algebra. Springer, Cham. https://doi.org/10.1007/978-3-031-20549-1_10
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DOI: https://doi.org/10.1007/978-3-031-20549-1_10
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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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