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Euclidean vector, a geometric entity endowed with magnitude and direction as well as a positive-definite inner product; an element of a Euclidean vector space. In physics, euclidean vectors are used to represent physical quantities that have both magnitude and direction, such as force, in contrast to scalar quantities, which have no direction.
A vector is a mathematical quantity that has both a magnitude and direction. It is often represented in variable form with an arrow above it. For example- velocity,acceleration.
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