Vectors are often represented as arrows in a coordinate system. They can also be represented using their components or as a linear combination of basis vectors. In two-dimensional space, a vector can be represented as (x, y) or ⟨x, y⟩, where x and y are the components of the vector in the x and y directions, respectively. In three-dimensional space, a vector can be represented as (x, y, z) or ⟨x, y, z⟩, with x, y, and z being the components of the vector in the x, y, and z directions, respectively.
