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cross product or vector product (occasionally directed area product, to emphasize its geometric significance) is a binary operation on two vectors in a...

mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns...

matrix-times-vector product denoted by A x {\displaystyle \mathbf {Ax} } is then the vector y {\displaystyle \mathbf {y} } that, viewed as a column vector, is...

triple product is a product of three 3-dimensional vectors, usually Euclidean vectors. The name "triple product" is used for two different products, the...

product space (or, rarely, a Hausdorff pre-Hilbert space) is a real vector space or a complex vector space with an operation called an inner product....

in vector algebra. Identities that only involve the magnitude of a vector ‖ A ‖ {\displaystyle \|\mathbf {A} \|} and the dot product (scalar product) of...

mathematics, the tensor product V ⊗ W {\displaystyle V\otimes W} of two vector spaces V and W (over the same field) is a vector space to which is associated...

physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has magnitude...

Edwin Bidwell Wilson in their 1901 book, Vector Analysis. In its standard form using the cross product, vector calculus does not generalize to higher dimensions...

Vector Product Format (VPF) is a military standard for vector-based digital map products produced by the U.S. Department of Defense (DOD). It has been...

The vector projection (also known as the vector component or vector resolution) of a vector a on (or onto) a nonzero vector b is the orthogonal projection...

bi + cj + dk, the vector part. Using the modern terms cross product (×) and dot product (.), the quaternion product of two vectors p and q can be written...

of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle V,} which has a product, called exterior product or wedge...

In mathematics and physics, a vector space (also called a linear space) is a set whose elements, often called vectors, may be added together and multiplied...

product of two coordinate vectors is the matrix whose entries are all products of an element in the first vector with an element in the second vector...

specialization of the tensor product (which is denoted by the same symbol) from vectors to matrices and gives the matrix of the tensor product linear map with respect...

vector multiplication may refer to one of several operations between two (or more) vectors. It may concern any of the following articles: Dot product...

is the vector formed from the diagonals of matrix M. The Hadamard product is a principal submatrix of the Kronecker product. The Hadamard product satisfies...

operations on the above sorts of vectors. A vector space formed by geometric vectors is called a Euclidean vector space, and a vector space formed by tuples is...

scalar multiplication—to give a vector field called the gradient; second, it can act on vector fields by a "formal" dot product—to give a scalar field called...