Vector Functions

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Vector Functions

Post  Daniel on Mon Feb 07, 2011 2:18 pm

Hi,

I am taking a Calc III course and I need to be able to be able to graph vector functions like the following:
r(t)=(cos(t))i+(sin(t))j+tk; 0≤t≤4pi

I have been attempting this by entering the following:
Graph: 3D Parametric
Coordinates: Cartesian
x=cos(u)
y=sin(u)
z=u
Override Default Range:
0≤u≤12.5664
I have been leaving v blank

Is this the correct way to graph these vector functions using Graphing Calculator 3D?
I am unsure of the reason for the extra variable v and if it affects my graph?
Any help and explanation would be greatly appreciated!
Thanks,
Daniel

Daniel
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Re: Vector Functions

Post  runiter on Thu Mar 17, 2011 10:56 pm

Hi Daniel,
Variable v is needed if you want your function to look like a 3D surface.
If you do not need variable v then you may want to switch to 2D and graph the parametric equation in its 2D form without need of specifying z.

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