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vector function. noun, Mathematics. 1. a function that assigns a vector to each point in a given set.
The derivatives of vector functions obey some familiar looking rules, which we will occasionally need. Theorem 13.2.5 Suppose ${\bf r}(t)$ and ${\bf s}(t)$ are differentiable functions, $f(t)$ is a differentiable function, and $a$ is a real number.