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In the natural sciences, a vector quantity (also known as a vector physical quantity, physical vector, or simply vector) is a vector-valued physical quantity. [9] [10] It is typically formulated as the product of a unit of measurement and a vector numerical value (), often a Euclidean vector with magnitude and direction.
A vector pointing from A to B. In mathematics, physics, and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector [1] or spatial vector [2]) is a geometric object that has magnitude (or length) and direction.
In Poynting's original paper and in most textbooks, the Poynting vector is defined as the cross product [4] [5] [6] =, where bold letters represent vectors and . E is the electric field vector;
Given a subset S of R n, a vector field is represented by a vector-valued function V: S → R n in standard Cartesian coordinates (x 1, …, x n).If each component of V is continuous, then V is a continuous vector field.
In this article, vectors are represented in boldface to distinguish them from scalars. [nb 1] [1]A vector space over a field F is a non-empty set V together with a binary operation and a binary function that satisfy the eight axioms listed below.
Vector (molecular biology), a DNA molecule used as a vehicle to artificially carry foreign genetic material into another cell Cloning vector, a small piece of DNA into which a foreign DNA fragment can be inserted for cloning purposes
In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat", as in ^ (pronounced "v-hat").
A four-vector A is a vector with a "timelike" component and three "spacelike" components, and can be written in various equivalent notations: [3] = (,,,) = + + + = + = where A α is the magnitude component and E α is the basis vector component; note that both are necessary to make a vector, and that when A α is seen alone, it refers strictly to the components of the vector.