Vectors: Definition, Representation, and Applications in Physics, Engineering, and Mathematics.

vector

a quantity that has magnitude and direction

A vector is an object in mathematics that has both magnitude and direction. It is typically represented as a directed line segment, with an initial point and a terminal point, where the length of the line segment represents the magnitude of the vector, and the direction of the line segment represents the direction of the vector. In two-dimensional space, vectors can be represented using two coordinates, usually denoted as (x, y), with x representing the horizontal component and y representing the vertical component. In three-dimensional space, vectors can be represented using three coordinates, denoted as (x, y, z). Vectors are commonly used in physics, engineering, and mathematics to represent physical quantities such as velocity, force, and acceleration. They can be added, subtracted, multiplied, and divided to perform various mathematical operations.

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