Abstract
Vectors are usually introduced with a comment that many physical quantities (e.g., displacements, velocities, accelerations, forces, and torques) are conveniently described by oriented segments characterized by intensity, direction, and versus. Then, a vector space E is defined as the set of the oriented segments starting from a given point O. Algebraic operations are introduced in the set E as the addition x + y of two vectors x, y∈E, the multiplication a x of a real number a by a vector x, the scalar product x ⋅ y, and the cross or vector product x ×y.
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Romano, A. (2012). Vector Space and Linear Maps. In: Classical Mechanics with Mathematica®. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8352-8_1
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DOI: https://doi.org/10.1007/978-0-8176-8352-8_1
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