: Mathématiques: unit vector

algebra > linear algebra > vector space > vector > unit vector

mathematical physics > vector calculus > vector > unit vector

mathematical analysis > calculus > vector calculus > vector > unit vector

geometry > differential geometry > vector calculus > vector > unit vector

unit vector

In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat", as in ${\\displaystyle {\\hat {\\mathbf {v} }}}$ (pronounced "v-hat").
The term direction vector, commonly denoted as d, is used to describe a unit vector being used to represent spatial direction and relative direction. 2D spatial directions are numerically equivalent to points on the unit circle
and spatial directions in 3D are equivalent to a point on the unit sphere.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Unit_vector)

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