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Euclidean vector

In mathematics, physics, and engineering, a **Euclidean vector** (sometimes called a **geometric** or **spatial vector**, or—as here—simply a **vector**) is a geometric object that has magnitude (or length) and direction and can be added to other vectors according to vector algebra. A Euclidean vector is frequently represented by a line segment with a definite direction, or graphically as an arrow, connecting an *initial point* *A* with a *terminal point* *B*, and denoted by

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