# Euclidean vector

geometric object that has magnitude (or length) and direction

In mathematics, physics, and engineering, a Euclidean vector (sometimes called a geometric or spatial vector, or simply a vector) is a geometric object that has magnitude (or length) and direction and can be added to other vectors according to vector algebra. A Euclidean vector is frequently represented by a line segment with a definite direction, or graphically as an arrow, connecting an initial point A with a terminal point B, and denoted by ${\displaystyle {\overrightarrow {AB}}.}$

## Quotes

• Physics deals with a great many quantities that have both size and direction, and it needs a special mathematical language —the language of vectors —to describe those quantities. This language is also used in engineering, the other sciences, and even in common speech.
• Jearl Walker, David Halliday, and Robert Resnick, Fundamentals of Physics (10th ed., 2014), Ch. 3. Vectors