Graphs of Vector Functions

Here are six examples of graphs of some vector functions ("space curves").

For each example we state a domain, show a space curve representing the vector functions and we show another graph which demostrates a random sampling of vectors in the range of the given vector function another with the components.

Example (Graph of Vector Function) Here is the graph of the vector function with domain from 0 to along with a random sampling of vectors in the range of

graphs of vector functions _gr_11.gif]

Example (Graph of Vector Function) Here is the graph of the vector function with domain from to along with a random sampling of vectors in the range of

graphs of vector functions _gr_16.gif]

Example (Graph of Vector Function) Here is the graph of the vector function with domain from to along with a random sampling of vectors in the range of

graphs of vector functions _gr_21.gif]

Example (Graph of Vector Function) Here is the graph of the vector function with domain from to along with a random sampling of vectors in the range of

graphs of vector functions _gr_26.gif]

Example (Graph of Vector Function) Here is the graph of the vector function with domain from to along with a random sampling of vectors in the range of

graphs of vector functions _gr_31.gif]

Example (Graph of Vector Function) Here is the graph of the vector function with domain from to along with a random sampling of vectors in the range of

graphs of vector functions _gr_36.gif]