physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric object that has...
60 KB (9,031 words) - 07:53, 25 June 2024
associated vector space is a Euclidean vector space. Euclidean spaces are sometimes called Euclidean affine spaces to distinguish them from Euclidean vector spaces...
47 KB (6,957 words) - 21:59, 2 May 2024
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...
10 KB (2,013 words) - 17:06, 9 August 2024
Dot product (redirect from Vector dot product)
(usually coordinate vectors), and returns a single number. In Euclidean geometry, the dot product of the Cartesian coordinates of two vectors is widely used...
28 KB (4,320 words) - 10:11, 28 July 2024
Norm (mathematics) (redirect from Vector norm)
particular, the Euclidean distance in a Euclidean space is defined by a norm on the associated Euclidean vector space, called the Euclidean norm, the 2-norm...
34 KB (5,697 words) - 21:38, 16 August 2024
applied as the measure of units between a number and zero. In vector spaces, the Euclidean norm is a measure of magnitude used to define a distance between...
8 KB (1,316 words) - 04:54, 24 June 2024
so that ei + ej is a null vector. In a pseudo-Euclidean space with k < n, unlike in a Euclidean space, there exist vectors with negative scalar square...
19 KB (2,367 words) - 07:09, 14 July 2024
+(p_{n}-q_{n})^{2}}}.} The Euclidean distance may also be expressed more compactly in terms of the Euclidean norm of the Euclidean vector difference: d ( p ,...
25 KB (3,187 words) - 10:11, 23 August 2024
In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted E 2 {\displaystyle {\textbf {E}}^{2}} or E 2 {\displaystyle \mathbb {E}...
16 KB (1,963 words) - 04:54, 30 April 2024
Look up vector or vectorial in Wiktionary, the free dictionary. Vector most often refers to: Euclidean vector, a quantity with a magnitude and a direction...
6 KB (731 words) - 00:36, 6 August 2024