Domain of a vector function - three dimensional space, Mathematics

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Domain of a Vector Function

There is a Vector function of a single variable in R2 and R3 have the form,

r (t) = {f (t), g(t)}

r (t) = {f (t) , g(t), h(t)}

correspondingly, where f (t) , g (t) and h (t) are known as the component functions.

The major idea that we want to discuss in this part is that of graphing and identifying the graph specified by a vector function. Though, before we do that, we should talk briefly about the domain of a vector function. The domain of vector function is the set of all t's for that all the component functions are defined.


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