Is there online software that can let me plot a vector function in a different basis?

Question

If I have a vector valued function with components $x_1= \sin(t)$ and $x_2= \cos(t)$, is there a site where I can just quickly see what it looks like with a basis like $<0, 1,2>, <-1,-1/2>$?

Answer 1

You can use the parametric feature of Runiter's Graphing Calculator 3D. Set the graph type to Parametric, then type in your function (except you have to use "u" variable instead of "t"):

x=sin(u)
y=cos(u)
z=u

This will plot a 3D curve with a spring-like shape.