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In mathematics and physics, vector notation is a commonly used notation for representing vectors, [1][2] which may be Euclidean vectors, or more generally, members of a vector space. …

When we multiply a vector by a scalar it is called "scaling" a vector, because we change how big or small the vector is.

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Although a vector has magnitude and direction, it does not have position. That is, as long as its length is not changed, a vector is not altered if it is displaced parallel to itself. In contrast to …