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Plotting a vectorial function

Chipset3600

Member
Feb 14, 2012
79
Hello guys, did you know any free program to plot vector functions? like this one: r(t) = (2cos(t), 2sin(t))
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Re: Ploting a vectorial function

Try entering:

r(t)=<2cos(t),2sin(t)>

at wolfram alpha:

Wolfram|Alpha: Computational Knowledge Engine

It will give you plots of the components, and a parametric plot, as well as the vector length.
 

Chipset3600

Member
Feb 14, 2012
79
Re: Ploting a vectorial function

Try entering:

r(t)=<2cos(t),2sin(t)>

at wolfram alpha:

Wolfram|Alpha: Computational Knowledge Engine

It will give you plots of the components, and a parametric plot, as well as the vector length.
I want some that i can plot 3D vector functions and interact with the function mode to further facilitate my study in Calculos II. I have here the Mathematica 9, im trying but i still not able to plot
 

TheBigBadBen

Active member
May 12, 2013
84
Re: Ploting a vectorial function

I want some that i can plot 3D vector functions and interact with the function mode to further facilitate my study in Calculos II. I have here the Mathematica 9, im trying but i still not able to plot
The mathematica command for what you'd like to plot would be

Code:
ParametricPlot[{2 Cos[t], 2 Sin[t]}, {t, 0, 2 Pi}]
In fact, I recommend taking a look at the following, for you to play around with:

Code:
Manipulate[ParametricPlot[{a Cos[2 Pi b t], a Sin[2 Pi b t]}, {t, 0, 1}, 
  PlotRange -> 10], {{a, 1}, 0.1, 10}, {{b, 0.5}, -1, 1}]
EDIT:
slight improvement:
Code:
Manipulate[
 ParametricPlot[{a Cos[2 Pi b t], a Sin[2 Pi b t]}, {t, 0, 1}, 
  PlotRange -> 10, 
  PlotLabel -> 
   Style[ToExpression[
     StringJoin["\[LeftAngleBracket]", ToString[a], "Sin[2\[Pi]*", 
      ToString[b], "t],Cos[2\[Pi]*", ToString[b], 
      "t]\[RightAngleBracket]"]]]]
 , {{a, 5}, 0.1, 10}, {{b, 0.5}, -1, 1}]
 
Last edited:

dwsmith

Well-known member
Feb 1, 2012
1,673