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# In mathematics, a vector (from the Latin vehere "to transport") is a geometric object that has a magnitude (or length) and a direction. Vectors can be added to other vectors according to vector algebra, and can be multiplied by a scalar (real number). A vector is what is called a "linear" quantity; its magnitude is independent of the chosen basis, and is determined by the component vectors' components. A vector can be pictured as an arrow (or a directed line segment) with a definite magnitude and direction, and having a definite position relative to a chosen origin. The magnitude of the vector is the length of the arrow. The direction of a vector is the direction of the arrow.

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##### Kristen K.

University of Michigan - Ann Arbor

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