Vector algebra (original) (raw)
Inom matematiken, kan vektoralgebra innebära: * Linjär algebra, särskilt de grundläggande algebraiska operationerna vektoraddition och skalärprodukt * Linjärt rum (vektorrum)
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| dbo:abstract | In mathematics, vector algebra may mean: * Linear algebra, specifically the basic algebraic operations of vector addition and scalar multiplication; see vector space. * The algebraic operations in vector calculus, namely the specific additional structure of vectors in 3-dimensional Euclidean space of dot product and especially cross product. In this sense, vector algebra is contrasted with geometric algebra, which provides an alternative generalization to higher dimensions. * An algebra over a field, a vector space equipped with a bilinear product * Original vector algebras of the nineteenth century like quaternions, tessarines, or coquaternions, each of which has its own product. The vector algebras biquaternions and hyperbolic quaternions enabled the revolution in physics called special relativity by providing mathematical models. (en) Inom matematiken, kan vektoralgebra innebära: * Linjär algebra, särskilt de grundläggande algebraiska operationerna vektoraddition och skalärprodukt * Linjärt rum (vektorrum) (sv) В математиці і лінійній алгебрі, векторна алгебра відноситься до алгебраїчних операцій в векторному просторі. Найчастіше, вона відноситься до операцій над Евклідовими векторами. (uk) |
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| dbo:wikiPageWikiLink | dbr:Quaternion dbr:Algebra_over_a_field dbr:Vector_space dbr:Coquaternion dbr:Cross_product dbr:Geometric_algebra dbr:Linear_algebra dbc:Algebra dbr:Euclidean_space dbr:Product_(mathematics) dbr:Hyperbolic_quaternion dbr:Biquaternion dbr:Dot_product dbr:Special_relativity dbr:Tessarine dbr:Vector_calculus |
| dct:subject | dbc:Algebra |
| rdfs:comment | Inom matematiken, kan vektoralgebra innebära: * Linjär algebra, särskilt de grundläggande algebraiska operationerna vektoraddition och skalärprodukt * Linjärt rum (vektorrum) (sv) В математиці і лінійній алгебрі, векторна алгебра відноситься до алгебраїчних операцій в векторному просторі. Найчастіше, вона відноситься до операцій над Евклідовими векторами. (uk) In mathematics, vector algebra may mean: * Linear algebra, specifically the basic algebraic operations of vector addition and scalar multiplication; see vector space. * The algebraic operations in vector calculus, namely the specific additional structure of vectors in 3-dimensional Euclidean space of dot product and especially cross product. In this sense, vector algebra is contrasted with geometric algebra, which provides an alternative generalization to higher dimensions. * An algebra over a field, a vector space equipped with a bilinear product * Original vector algebras of the nineteenth century like quaternions, tessarines, or coquaternions, each of which has its own product. The vector algebras biquaternions and hyperbolic quaternions enabled the revolution in physics called spe (en) |
| rdfs:label | Vector algebra (en) Vektoralgebra (sv) Векторна алгебра (uk) |
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