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In mathematics, physics and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or—as in here—simply a vector) is a geometric object that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. A Euclidean vector is frequently represented by a ray (a line segment with a definite direction), or graphically as an arrow connecting an initial point A with a terminal point B. Many algebraic operations on real numbers such as addition, subtraction, multiplication, and negation have close analogues for vectors, operations which obey the familiar algebraic laws of commutativity, associativity, and distributivity.
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