 A graph of the vector-valued function <2Cos(t),4Sin(t),t> A vector-valued function is a mathematical function that maps real numbers onto vectors. Vector-valued functions can be defined as: In mathematics, the real numbers may be described informally in several different ways. ...
In physics and in vector calculus, a spatial vector, or simply vector, is a concept characterized by a magnitude and a direction. ...
 or where f(t), g(t) and h(t) are functions of the parameter t and i, j and k are unit vectors. Vector functions can also be referred to in a different notation: Partial plot of a function f. ...
Graph of a butterfly curve, a parametric equation discovered by Temple H. Fay In mathematics, a parametric equation explicitly relates two or more variables in terms of one or more independent parameters. ...
In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) whose length is 1. ...
 or
Properties The domain of a vector-valued function is the intersection of the domain of the functions f, g and h. In mathematics, the domain of a function is the set of all input values to the function. ...
In mathematics, the intersection of two sets A and B is the set that contains all elements of A that also belong to B (or equivalently, all elements of B that also belong to A), but no other elements. ...
See also A position vector is a vector used to describe the spatial position of a point relative to a reference point called the origin (of the space). ...
In mathematics, the theory of vector-valued functions is a chapter of mathematical analysis, concerned with the generalisation to functions taking values in a Banach space, or more general topological vector space, of the notions of infinite sum and integral. ...
In mathematics, the differential geometry of curves provides definitions and methods to analyze smooth curves in Riemannian manifolds and Pseudo-Riemannian manifolds (and in particular in Euclidean space) using differential and integral calculus. ...
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