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High Quality Content by WIKIPEDIA articles! In mathematics and physics, vector can refer to: Euclidean vector, a geometric entity endowed with both length and direction; an element of a Euclidean vector space. In physics, euclidean vectors are used to represent physical quantities which have both magnitude and direction, such as force, in contrast to scalar quantities, which have no direction. Vector projection, also known as the vector resolute, a mapping of one vector onto another.