In mathematics and physics, a vector is a geometric object that has both magnitude and direction. It is often represented as an arrow, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.

Vectors are used to represent various physical quantities, such as displacement, velocity, acceleration, force, and more. In a mathematical sense, vectors can be added, subtracted, multiplied by a scalar (a real number), and subjected to various operations.