- #1
Chipset3600
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Hello guys, did you know any free program to plot vector functions? like this one: r(t) = (2cos(t), 2sin(t))
MarkFL said: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 said: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
ParametricPlot[{2 Cos[t], 2 Sin[t]}, {t, 0, 2 Pi}]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}]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}]Chipset3600 said:Hello guys, did you know any free program to plot vector functions? like this one: r(t) = (2cos(t), 2sin(t))
A vectorial function is a mathematical function that takes in one or more inputs and produces a vector as an output. It is commonly used in physics and engineering to describe the motion of objects in space.
To plot a vectorial function, you first need to determine the range of values for the input variables. Then, plug in these values into the function and calculate the corresponding output vectors. Finally, plot the output vectors on a coordinate system to visualize the function.
A scalar function produces a single numerical value as an output, while a vectorial function produces a vector as an output. Scalar functions are commonly used to describe simple relationships, while vectorial functions are used to describe more complex relationships, such as motion in multiple dimensions.
Yes, a vectorial function can have multiple outputs. This is known as a multivariate vectorial function and is commonly used in physics to describe systems with multiple variables and outputs.
A vectorial function is typically represented using vector notation, such as f(x) = [x, x2, sin(x)], where x is the input variable and the output vector contains the values of x, x2, and sin(x).