# Plotting a vectorial function

#### Chipset3600

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

#### MarkFL

Staff member
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
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

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