In mathematics and physics, a vector is an element of a vector space.For many specific vector spaces, the vectors have received specific names, which are listed below. In general, a Euclidean vector is a geometric object with both length and direction (and so is frequently represented as a ray). Such vectors can be added to each other or scaled using vector algebra. Correspondingly, an ensemble of vectors is called a vector space. These objects are the subject of linear algebra and can be characterized by their dimension.
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