Graphs of Vector Functions

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

graphs of vector functions _gr_1.gif]

graphs of vector functions _gr_2.gif]

graphs of vector functions _gr_3.gif]

graphs of vector functions _gr_4.gif]

graphs of vector functions _gr_5.gif]

graphs of vector functions _gr_6.gif]

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 graphs of vector functions _gr_7.gif] components.

Example (Graph of Vector Function) Here is the graph of the vector function graphs of vector functions _gr_8.gif] with domain from 0 to graphs of vector functions _gr_9.gif] along with a random sampling of vectors in the range of graphs of vector functions _gr_10.gif]  

graphs of vector functions _gr_11.gif]

Example (Graph of Vector Function) Here is the graph of the vector function graphs of vector functions _gr_12.gif] with domain from graphs of vector functions _gr_13.gif] to graphs of vector functions _gr_14.gif] along with a random sampling of vectors in the range of graphs of vector functions _gr_15.gif]  

graphs of vector functions _gr_16.gif]

Example (Graph of Vector Function) Here is the graph of the vector function graphs of vector functions _gr_17.gif] with domain from graphs of vector functions _gr_18.gif] to graphs of vector functions _gr_19.gif] along with a random sampling of vectors in the range of graphs of vector functions _gr_20.gif]  

graphs of vector functions _gr_21.gif]

Example (Graph of Vector Function) Here is the graph of the vector function graphs of vector functions _gr_22.gif] with domain from graphs of vector functions _gr_23.gif] to graphs of vector functions _gr_24.gif] along with a random sampling of vectors in the range of graphs of vector functions _gr_25.gif]  

graphs of vector functions _gr_26.gif]

Example (Graph of Vector Function) Here is the graph of the vector function graphs of vector functions _gr_27.gif] with domain from graphs of vector functions _gr_28.gif] to graphs of vector functions _gr_29.gif] along with a random sampling of vectors in the range of graphs of vector functions _gr_30.gif]  

graphs of vector functions _gr_31.gif]

Example (Graph of Vector Function) Here is the graph of the vector function graphs of vector functions _gr_32.gif] with domain from graphs of vector functions _gr_33.gif] to graphs of vector functions _gr_34.gif] along with a random sampling of vectors in the range of graphs of vector functions _gr_35.gif]  

graphs of vector functions _gr_36.gif]

Cite this as:
Graphs Of Vector Functions
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/graphs-of-vector-functions.html
 
    
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