scalar product of vectors

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-18.11

https://metanorma.github.io/isq-smart/math/part-2-18/t2-18.11
urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.11

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.11

IEC

urn:iec:std:iec:80000-2:2019:::item:2-18.11

Designations

ENscalar product of vectors

FRproduit scalaire de vecteurs

Symbol

a \cdot b

Notation systems

AsciiMath

bb(ii(a)) * bb(ii(b))

LaTeX

\mathbf{\mathit{a}} \cdot \mathbf{\mathit{b}}

Definition

scalar product of $a$ and $b$

produit scalaire de $a$ et $b$

Notes

$a \cdot b = a_{x} b_{x} + a_{y} b_{y} + a_{z} b_{z}$

$a \cdot a = \sum_{i} a_{i} b_{i}$

$a \cdot a = a^{2} = {| a |}^{2} = a^{2}$

In special fields, $(a, b)$ or $< a, b >$ is also used.

$a \cdot b = a_{x} b_{x} + a_{y} b_{y} + a_{z} b_{z}$

$a \cdot a = \sum_{i} a_{i} b_{i}$

$a \cdot a = a^{2} = {| a |}^{2} = a^{2}$

Dans des domaines spécialisés, $(a, b)$ ou $< a, b >$ est aussi utilisé.

Referenced by

multiplication

Ontology
isq:MathConcept smart:TermEntry

Class Hierarchy

smart:Entity smart:TermEntryisq:MathConcept

A mathematical concept as defined in ISO/IEC 80000 Part 2.

Instance IRI

isq:t2-18.11

Properties

isq:MathConceptShape

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-18.11
skosxl:prefLabel	"scalar product of vectors"@en
skosxl:altLabel	"bb(ii(a)) * bb(ii(b))"@en
skos:definition	scalar product of stem:[bb(ii(a))] and stem:[bb(ii(b))]
skos:note	stem:[bb(ii(a)) * bb(ii(b)) = a_xb_x + a_yb_y + a_zb_z] stem:[bb(ii(a)) * bb(ii(a)) = sum_i a_i b_i] stem:[bb(ii(a)) *…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-18

Related Entities

isq:MathConceptShape isq:part-2-18 smart:TermEntry