Introduction to Vector Functions

A vector-valued function, or simply a vector function, extends the concept of scalar functions by assigning a vector to each input value from its domain. In the context of motion through space, particularly in three dimensions, such functions are essential for describing trajectories and paths. A vector function r(t) is t...

A real-valued function assigns one real number to each element in its domain.

A vector-valued function, or vector function, also has a domain of real numbers, but its range consists of vectors.

It is written as r of t, where t is the independent variable and often represents time. For each value of t in...