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Euclidean vector
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===In physics and engineering=== Vectors are fundamental in the physical sciences. They can be used to represent any quantity that has magnitude, has direction, and which adheres to the rules of vector addition. An example is [[velocity]], the magnitude of which is [[speed]]. For instance, the velocity ''5 meters per second upward'' could be represented by the vector (0, 5) (in 2 dimensions with the positive ''y''-axis as 'up'). Another quantity represented by a vector is [[force]], since it has a magnitude and direction and follows the rules of vector addition.<ref name=":2" /> Vectors also describe many other physical quantities, such as linear displacement, [[displacement (vector)|displacement]], linear acceleration, [[angular acceleration]], [[linear momentum]], and [[angular momentum]]. Other physical vectors, such as the [[electric field|electric]] and [[magnetic field]], are represented as a system of vectors at each point of a physical space; that is, a [[vector field]]. Examples of quantities that have magnitude and direction, but fail to follow the rules of vector addition, are angular displacement and electric current. Consequently, these are not vectors.
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