Cartesian coordinates of vector

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-18.8

https://metanorma.github.io/isq-smart/math/part-2-18/t2-18.8
urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.8

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.8

IEC

urn:iec:std:iec:80000-2:2019:::item:2-18.8

Designations

ENCartesian coordinates of vector

FRcoordonnées cartésiennes d'un vecteur

Symbol

a_{x}, a_{y}, a_{z}

a_{i}

Notation systems

AsciiMath

a_x, a_y, a_z

AsciiMath

a_i

LaTeX

a_{x} , a_{y} , a_{z}

LaTeX

a_{i}

Definition

Cartesian coordinates of vector $a$ , + Cartesian components of vector $a$

coordonnées cartésiennes du vecteur $a$ , + composantes cartésiennes du vecteur $a$

Notes

$a = a_{x} e_{x} + a_{y} e_{y} + a_{z} e_{z}$

$a_{1} e_{1}, a_{2} e_{2}, a_{3} e_{3}$ are the component vectors. If it is clear from the context which are the base vectors, the vector can be written

$a = (a_{x}, a_{y}, a_{z})$ .

$a_{x} = a \cdot e_{x}, a_{y} = a \cdot e_{y}, a_{z} = a \cdot e_{z}$

$r = x e_{x} + y e_{y} + z e_{z}$ is the position vector (radius vector) of the point with coordinates $x, y, z$ .

$a = a_{x} e_{x} + a_{y} e_{y} + a_{z} e_{z}$

$a_{1} e_{1}, a_{2} e_{2}, a_{3} e_{3}$ sont les composantes du vecteur. Si le contexte permet de savoir clairement quels sont les vecteurs de base, le vecteur peut être écrit:

$a = (a_{x}, a_{y}, a_{z})$ .

$a_{x} = a \cdot e_{x}, a_{y} = a \cdot e_{y}, a_{z} = a \cdot e_{z}$

$r = x e_{x} + y e_{y} + z e_{z}$ est le rayon vecteur du point de coordonnées $x, y, z$ .

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:t2-18.8

Properties

isq:MathConceptShape

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-18.8
skosxl:prefLabel	"Cartesian coordinates of vector"@en
skosxl:altLabel	"a_x, a_y, a_z"@en"a_i"@en
skos:definition	Cartesian coordinates of vector stem:[bb(ii(a))], + Cartesian components of vector stem:[bb(ii(a))]
skos:note	stem:[bb(ii(a)) = a_x" "bb(e)_x + a_y" "bb(e)_y + a_z" "bb(e)_z] stem:[a_1" "bb(e)_1, a_2" "bb(e)_2, a_3" "bb(e)_3] are…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-18

Related Entities

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