Definition:Vector Quantity/Equivalence Class
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A vector quantity is an instance of an equivalence class of directed line segments whose lengths and directions are equal.
The canonical instance is the one whose initial point is located at the origin.
- 1992: Frederick W. Byron, Jr. and Robert W. Fuller: Mathematics of Classical and Quantum Physics ... (previous) ... (next): Volume One: Chapter $1$ Vectors in Classical Physics: $1.1$ Geometric and Algebraic Definitions of a Vector