The component form of a vector is a way to describe the vector using numbers that show its displacement in each direction. For vectors in two dimensions, it is written like a coordinate pair, but typically using braces instead of parenthesis. The $x$ and $y\text{-}$values are known as the components of the vector. The horizontal component is given by the difference between the $x\text{-}$value of the initial point and the $x\text{-}$value of the terminal point. Similarly, the vertical component is given by the difference between the $y\text{-}$value of the initial point and the $y\text{-}$value of the terminal point. For vectors in three dimensions, three numbers are required to define a vector, so an additional component has to be incorporated. Each component represents a displacement parallel to its corresponding axis.