Which Free Program Can Plot Vector Functions Like r(t) = (2cos(t), 2sin(t))?

[Chipset3600]

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

 

[MarkFL]

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]

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, I am trying but i still not able to plot

 

[TheBigBadBen]

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, I am trying but i still not able to plot

The mathematica command for what you'd like to plot would be

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:

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:

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}]

 

[Dustinsfl]

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

Python