Bivector
A bivector is a mathematical object that can be thought of as a directed plane segment. It is the simplest type of multivector in geometric algebra, a framework that unifies vector algebra and complex numbers. Geometrically, a bivector represents an oriented area in a plane, with both magnitude and direction. The magnitude of a bivector corresponds to the area of the parallelogram formed by two vectors, and its orientation is determined by the plane in which this parallelogram lies and the sense of rotation from one vector to the other.
In two-dimensional Euclidean space, a bivector can be represented as the wedge product of two linearly independent