A vector is a mathematical object that has a size, called the magnitude, and a direction. It is often represented by boldface letters (such as u {\displaystyle...

defined in a vector space: addition of two vectors and multiplication of a vector with a scalar. These operations can change the size of a vector and the direction...

A unit vector is any vector that is one unit in length. Unit vectors are often notated the same way as normal vectors, but with a mark called a circumflex...

A vector in biology is an intermediary organism that faciliates transmission of a smaller living species from one host to another. The vector gets no...

Vector calculus is a branch of mathematics that investigates vector fields and how they change over time. Vector calculus usually studies two- or three-dimensional...

null vector is a special vector, which is the identity element for the addition of vectors, in a given vector space. As an example, the null vector of n-dimensional...

A displacement vector is a concept from mathematics. It is a vector. It shows the direction and distance traveled with a straight line. It is often used...

Vector graphics (also called graphical modeling, or object-oriented graphics) is a type of computer graphics. Vector graphics uses geometrical objects...

A vector field is a function that assigns to every point in space a vector. It can be imagined as a collection of arrows, each one attached to a different...

A vector graphics editor is a computer program that lets users make and change vector graphics images and save them in one of many popular vector graphics...

Scalable Vector Graphics (SVG) are a type of two dimensional picture that work on vectors, rather than pixels. This means they can become bigger or smaller...

of interest. The DNA insert has been subcloned into a molecular biology vector. A DNA construct may express wildtype protein, or prevent the expression...

Vector Symbolic Architecture (VSA) is a kind of vector algebra used in an embedding space [en] to represent symbol manipulation [en] as vector operations...

Vector Laplacian applies to the vector fields and returns a vector quantity. When computed in rectangular Cartesian coordinates, the returned vector field...

known as vectors. The idea behind vector control is that limiting the spread of the animal or plant will also limit the spread of the disease. Vector control...

A vector subspace is a vector space that is a subset of another vector space. This means that all the properties of a vector space are satisfied. Let W...

set of vectors in a given vector space with certain properties: One can get any vector in the vector space by multiplying each of the basis vectors by different...

equations. Vectors and matrices are used to solve these systems. The main objects of study currently are vector spaces and linear mappings between vector spaces...

The Vector Map (VMAP) is a map collection made by The National Geospatial-Intelligence Agency. It is based on the geographic information system. It uses...

is no definition that can satisfy all concepts. In a vector space V {\displaystyle V} (with vectors being "arrows" with directions), the dimension of V...

categories: vector graphics and raster graphics. Vector graphics use lines, shapes and text to create a more complex image. If a vector graphic image...

Force(vector) q : Electric charge (scalar) E : Electric field (vector) v : Velocity of particle (vector) B : Magnetic field (vector) * is vector Cross...

In linear algebra and vector calculus, the dot product is an operation that takes two vectors as input, yielding a scalar number as output. Such a number...

respectively. For vectors, scalar multiplication produces a new vector of different length in the same or opposite direction of the original vector. A scalar...

every vector into a scalar. A vector is a tensor of order one. A tensor of order two (second-order tensor) is a linear map that maps every vector into...

three-dimensional vectors. It is often written by the symbol × {\displaystyle \times } . After performing the cross product, a new vector is formed. The...

vector spaces. Each vector space has a null vector. This vector is expressed as a linear combination (a sum) of other vectors. A set of these vectors...

is a vector—different from the null vector—which does not change direction after the transformation (except if the transformation turns the vector to the...

In vector calculus, the curl is a vector operator that describes the infinitesimal rotation of a vector field in three-dimensional Euclidean space. At...

operator that takes a vector field and turns it into a scalar field. In a vector field, each point of the field is associated with a vector; in a scalar field...

another sort the vector, too: for top ≔ high(vector)−1 downto low(vector) do for current ≔ low(vector) to top do if vector[current] > vector[current+1] then...

The right-hand rule is a convention in vector math. It helps you remember direction when vectors get cross multiplied. Start by closing your right hand...

In vector calculus, the gradient of a multivariate function measures how steep a curve is. On a graph of the function, it is the slope of the tangent of...

functions which return numbers as values), or its vector fields (that is, functions which return vectors as values). Surface integrals have applications...

system, usually the Cartesian coordinate system. As vectors are frequently used, it is also known as vector geometry. In most cases, tools from algebra (especially...

They are called vector fields or tensor fields. For example, one can model a gravitational field by a vector field where a vector indicates the acceleration...

module is the generalization of a vector space. Modules are defined with respect to a ring. A vector space uses vectors and scalars, it defines the operations...

transformation) is a mapping f between vector spaces that preserves addition and scalar multiplication. Let V and W be vector spaces over the same field K. A...

\|{\boldsymbol {v}}\|} . It measures the length of the vector. For a three-dimensional vector v = ( v 1 , v 2 , v 3 ) {\displaystyle {\boldsymbol {v}}=(v_{1}...

of these cause borreliosis, a zoonotic, vector-borne disease transmitted primarily by ticks or lice. The vector of transmission is dependent on the species...

his discovery of insecticidal qualities and use of DDT in the control of vector diseases. He was born on January 12, 1899 in Olten, Switzerland and died...

moments. Both the magnetic moment and magnetic field may be considered to be vectors having a magnitude and direction. The direction of the magnetic moment...

object is rotating along with the direction in which it is rotating. It is a vector quantity. The SI unit of angular velocity is radians per second. But it...

generally three-dimensional. Position is thus a 3-vector signal; position and orientation is a 6-vector signal. Sound. Since a sound is a vibration of a...

the movement of some quantity per time. Flux, in this definition, is a vector. There are many fluxes used in the study of transport phenomena. Each type...

through a vector. This is an animal that carries the pathogen that causes the disease without getting infected. Diseases like this are called vector-borne...

computer Path (graph theory), a sequence of vertices of a graph Path (topology), a continuous function Path, a name for the vectors in vector graphics...

physics and mathematics, a pseudovector (or axial vector) is a quantity that transforms like a vector under a proper rotation,[clarification needed] but...

vectors. A set of vectors is coplanar if and only if all vectors can be written as a linear combination of two vectors in the set. Coplanar vectors are...

In mathematics, the norm of a vector is its length. A vector is a mathematical object that has a size, called the magnitude, and a direction. For the real...