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searching for Multiplication of vectors 10 found (12 total)

alternate case: multiplication of vectors

Vector algebra relations (1,646 words) [view diff] no match in snippet view article find links to article

The relations below apply to vectors in a three-dimensional Euclidean space. Some, but not all of them, extend to vectors of higher dimensions. In particular
Quaternionic polytope (238 words) [view diff] exact match in snippet view article find links to article
quaternions are non-commutative, a convention must be made for the multiplication of vectors by scalars, which is usually in favour of left-multiplication
Subalgebra (479 words) [view diff] exact match in snippet view article find links to article
ring or field is a vector subspace which is closed under the multiplication of vectors. The restriction of the algebra multiplication makes it an algebra
Polar sine (1,036 words) [view diff] exact match in snippet view article find links to article
_{n}\end{bmatrix}}\\&=-\Omega \end{aligned}}} Invariance under scalar multiplication of vectors The polar sine does not change if all of the vectors v1, ..., vn
Complex spacetime (929 words) [view diff] exact match in snippet view article find links to article
field). To "complexify" a space means extending ordinary scalar multiplication of vectors by real numbers to scalar multiplication by complex numbers. For
Vectors in three-dimensional space (278 words) [view diff] exact match in snippet view article find links to article
displacements including these sections: Introduction, Scalar multiplication of vectors, Addition and subtraction of vectors, Displacements in Euclidean
Commutative property (2,472 words) [view diff] exact match in snippet view article find links to article
addition and multiplication of complex numbers, addition and scalar multiplication of vectors, and intersection and union of sets. Concatenation, the act of
Linear algebra (8,027 words) [view diff] exact match in snippet view article find links to article
coordinate n-space Fn. Under this identification, addition and scalar multiplication of vectors in V correspond to addition and scalar multiplication of their
Ring (mathematics) (13,665 words) [view diff] exact match in snippet view article
concept of a vector space (over a field) by generalizing from multiplication of vectors with elements of a field (scalar multiplication) to multiplication
Classical Hamiltonian quaternions (5,235 words) [view diff] exact match in snippet view article find links to article
the numerator times the reciprocal of the denominator. Since multiplication of vectors is not commutative, the order cannot be changed in the following