what is a unit vector
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Vectors have both a magnitude (value) and a direction. Vectors are labeled with an arrow, for example: . A unit vector is a vector that has a magnitude of 1. They are labeled with a " ", for example: . Any vector can become a unit vector by dividing it by the vector's magnitude.
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a unit vector in a normed vector space is a vector of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat". The term direction vector is used to describe a unit vector being used to represent spatial direction, and such quantities are commonly denoted as d.
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