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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 v ^ {\displaystyle {\hat {\mathbf {v} }}} (pronounced "v-hat"). The term normalized vector is sometimes used as a synonym for unit vector.

Measurement & Standards

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Explore the main themes, entities and connections around Unit vector. Start with the topic map, then use the sections below for research and deeper semantic analysis.

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Overview

Orthogonal coordinates

Curvilinear coordinates

Right versor

Advanced semantic analysis

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Map overview Semantic statistics

Unit vector

Nodes43
Edges42
Triples30
Avg. degree1.95
Density0.046512
Components1

How this topic connects Entity context

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Unit vector

Top relations

related to Spherical coordinates · 9
Unit vector → American, For, Here, It, Jacobian, The, The Cartesian, This, To
related to Right versor · 6
Unit vector → Euler's, Hamilton, If, In, Thus, When
related to Curvilinear coordinates · 5
Unit vector → For, In, It, Kronecker, Levi-Civita
related to Cartesian coordinates · 4
Unit vector → Cartesian, For, They, Unit
related to Cylindrical coordinates · 1
Unit vector → The
related to General unit vectors · 1
Unit vector → Common

Important terminology Word statistics

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Important terminology

unit vector displaystyle hat vectors cartesian mathbf often used versor basis system direction space coordinates right coordinate angle varphi theta

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
iinstance offor instance with index symbols0.80text
jinstance offor instance with index symbols0.80text
kinstance offor instance with index symbols0.80text
which are used to identify an element of a set or array or sequence of variablesinstance offor instance with index symbols0.80text
Unit vectorrelated to Cartesian coordinatesUnit0.60section
Unit vectorrelated to Cartesian coordinatesCartesian0.60section
Unit vectorrelated to Cartesian coordinatesFor0.60section
Unit vectorrelated to Cartesian coordinatesThey0.60section
Unit vectorrelated to Curvilinear coordinatesIn0.60section
Unit vectorrelated to Curvilinear coordinatesFor0.60section
Unit vectorrelated to Curvilinear coordinatesIt0.60section
Unit vectorrelated to Curvilinear coordinatesKronecker0.60section

Related concept clusters Concept neighborhoods

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    Connections between topic areas Semantic bridges

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    Min side: 3
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