Section 14.1 Vector Functions and Space Curves

Exampe1. Plot the space curve:<sin(t),Cos(t),t>

ParametricPlot3D[{Sin[t],Cos[t],t},{t,0,4Pi},BoxRatios->{1,1,2}]

Example2. Plot the Space Curve: <t^4-t^2+1,t,t^2>

ParametricPlot3D[{t^4-t^2+1,t,t^2},{t,-1,1}]

Example3. Plot the Space Curve: <sin(t),sin(2t),sin(3t)>

ParametricPlot3D[{Sin[t],Sin[2t],Sin[3t]},{t,0,4Pi}]