VECTOR (data type)

The VECTOR datatype represents a two-dimensional geometric vector, i.e. an oriented segment that represents a quantity with: module (or magnitude), as the length of the segment, which indicates the magnitude of the quantity; direction: the line on which the segment lies, i.e. the orientation of the segment on the line.

In a Cartesian coordinate system, a two-dimensional vector is defined by a pair of numbers (x, y), which represent its components along the x and y axes. These components can be viewed as the coordinates of the vector's endpoint, assuming that the initial point is the origin (0, 0).

Given a variable of VECTOR data type, you can access to coordinates using the X() and Y() functions.

Vectors can be added or subtracted, and they are performed by adding or subtracting the corresponding components; you can do a scalar product, where both components are multiplied by the scalar; you can do a dot product, an operation that returns a number related to the angle between two vectors.

Two-dimensional geometric vectors are a fundamental tool in many areas of mathematics, physics, and computer science, especially in computer graphics and the simulation of physical phenomena.

EXAMPLE

 PLOT X(v),Y(v), RED