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Euclidean vector

In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude (or length) and direction. Euclidean vectors can be added and scaled to form a vector space. A vector quantity is a vector-valued physical quantity, including units of measurement…

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Overview

History

Representations

Properties and operations

Physics

Vectors, pseudovectors, and transformations

Mathematical treatments

Physical treatments

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Map overview Semantic statistics

Euclidean vector

Nodes204
Edges203
Triples42
Avg. degree1.99
Density0.009804
Components1

How this topic connects Entity context

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Euclidean vector

Top relations

related to Vectors, pseudovectors, and transformations · 12
Euclidean vector → Alternatively, An, Euclidean, Examples, For, In, Mathematically, Mx, On, Similarly, The, This
see also · 7
Euclidean vector → Affine, AusdehnungslehreHilbert, Euclidean, Minkowski, Position, PseudovectorQuaternionTangential, TensorUnit
related to Further information · 6
Euclidean vector → AB, Euclidean, For, In, Such, The
related to overview · 6
Euclidean vector → Euclidean, In, It, The, This, When
is a · 1
Euclidean vector → element of a normed vector space of finite dimension over the reals

Important terminology Word statistics

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Important terminology

vector vectors displaystyle direction length space mathbf basis two magnitude euclidean product components point scalar also called velocity unit coordinate

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Euclidean vectoris aelement of a normed vector space of finite dimension over the reals0.90text
additioninstance ofMany algebraic operations on real numbers0.80text
subtractioninstance ofMany algebraic operations on real numbers0.80text
multiplicationinstance ofMany algebraic operations on real numbers0.80text
and negation have close analogues for vectorsinstance ofMany algebraic operations on real numbers0.80text
operations which obey the familiar algebraic laws of commutativityinstance ofMany algebraic operations on real numbers0.80text
associativityinstance ofMany algebraic operations on real numbers0.80text
and distributivityinstance ofMany algebraic operations on real numbers0.80text
gradientinstance ofhave units of one-over-distance0.80text
additioninstance ofIn such a case it is necessary to develop a method to convert between bases so the basic vector operations0.80text
subtraction can be performedinstance ofIn such a case it is necessary to develop a method to convert between bases so the basic vector operations0.80text
Euclidean vectorrelated to Further informationIn0.60section

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