magnitude of vector

URNurn:iso:std:iso:80000:-2:ed-2:en:item:2-18.4

https://metanorma.github.io/isq-smart/math/part-2-18/t2-18.4
urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.4

ISQ Identifiers

ISO

urn:iso:std:iso:80000:-2:ed-2:en:item:2-18.4

IEC

urn:iec:std:iec:80000-2:2019:::item:2-18.4

Designations

ENmagnitude of vector

FRnorme de vecteur

Symbol

| a |

Notation systems

AsciiMath

abs(bb(ii(a)))

LaTeX

\abs{\mathbf{\mathit{a}}}

Definition

magnitude of the vector $a$ , + norm of the vector $a$

norme du vecteur $a$

$| a | = \sqrt{a_{x}^{2} + a_{y}^{2} + a_{z}^{2}}$

$∥ a ∥$ is also used.

The symbol $| |$ is also used for cardinality of a set (see number of elements), absolute value of a real number (see absolute value), modulus of a complex number (modulus, of complex number).

$| a | = \sqrt{a_{x}^{2} + a_{y}^{2} + a_{z}^{2}}$

$∥ a ∥$ est aussi utilisé.

Le symbole $| |$ est aussi utilisé pour le cardinal d'un ensemble (voir number of elements), la valeur absolue d'un nombre réel (voir absolute value), et le module d'un nombre complexe (voir modulus, of complex number).

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

isq:t2-18.4

Property	Value
rdf:type	isq:MathConcept smart:TermEntry
dcterms:identifier	2-18.4
skosxl:prefLabel	"magnitude of vector"@en
skosxl:altLabel	"abs(bb(ii(a)))"@en
skos:definition	magnitude of the vector stem:[bb(ii(a))], + norm of the vector stem:[bb(ii(a))]
skos:note	stem:[abs(bb(ii(a))) = sqrt(a_x^2 + a_y^2 + a_z^2)] stem:[norm(bb(ii(a)))] is also used. The symbol stem:[abs] is also…
smart:hasBindingnessType	bindingness-type:normative
dcterms:isPartOf	isq:part-2-18