# Euclidean vector

In  and engineering, a Euclidean vector or simply a vector (sometimes called a geometric vector or spatial vector) is a geometric that has magnitude (or length) and direction.

Vectors can be added to other vectors according to vector .

A Euclidean vector is represented by a ray (a directed line segment), or graphically as an arrow connecting an initial point A with a  point B.

A vector is what is needed to “carry” the point A to the point B; the  vector means “carrier”.

It was first used by 18th century astronomers investigating planetary revolution around the .

The magnitude of the vector is the distance between the two points, and the direction refers to the direction of displacement from A to B.

Many algebraic operations on real numbers such as , and negation have close analogues for vectors, operations which obey the familiar algebraic laws of commutativity, associativity, and distributivity.

These operations and associated laws qualify Euclidean vectors as an example of the more generalized of vectors defined simply as elements of a vector space.

Last Updated on 3 years by pinc