A vector is a mathematical element with magnitude and direction, represented by a directed segment with an arrow. The magnitude represents the length of the vector, while the direction indicates the orientation. A multiple of a vector is obtained by multiplying its magnitude by a number, which results in a vector with the same direction but different magnitude. A vector's module can be calculated through the use of a triangular relationship, and the parallelism between two vectors is expressed through the nullification of their vector product. When calculating the total distance traveled, one must consider the individual magnitudes and angles of each vector in the sum. However, a vector can also be divided into components for easier calculations. In physics, a vector is characterized by its magnitude, direction, and orientation, and can be represented by a directed segment with an arrow.