Editing Euclidean vector (section)

===Vector-valued functions===
{{main|Vector-valued function}}
Often in areas of physics and mathematics, a vector evolves in time, meaning that it depends on a time parameter ''t''. For instance, if '''r''' represents the position vector of a particle, then '''r'''(''t'') gives a [[parametric equation|parametric]] representation of the trajectory of the particle. Vector-valued functions can be [[derivative|differentiated]] and [[integral|integrated]] by differentiating or integrating the components of the vector, and many of the familiar rules from [[calculus]] continue to hold for the derivative and integral of vector-valued functions.