Orthogonality is a mathematical property that describes the independence of two or more vectors. Orthogonal vectors are perpendicular to each other, meaning they have no component in the same direction. This concept is widely used in various fields, including linear algebra, geometry, and physics.
Checking for orthogonality is essential in many applications. In linear algebra, orthogonal vectors form the basis for vector spaces and are used to solve systems of linear equations. In geometry, orthogonality is used to define perpendicular lines and planes, and to calculate distances and angles. In physics, orthogonal vectors are used to describe forces and waves.
