The SpaceCurveTutor command launches a tutor interface that plots and animates the characteristics of a space curve such as: tangent vectors, normal vectors, binormal vectors, unit tangent vectors, unit normal vectors, unit binormal vectors, tangent-normal-binormal frame, curvature, and torsion.

If F and a..b are not specified, SpaceCurveTutor uses defaults. If t is not specified, it is inferred from F.

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{VectorCalculus}\right]\right)\:$

$\mathrm{SpaceCurveTutor}\left(\right)$

$\mathrm{SetCoordinates}\left(\mathrm{cartesian}\left[x,y\right]\right)$

$\mathrm{SpaceCurveTutor}\left(⟨\cos \left(t\right)\,\sin \left(t\right)⟩\,t=0..2\mathrm{\pi }\right)$

$\mathrm{SetCoordinates}\left(\mathrm{cartesian}\left[x,y,z\right]\right)$

$\mathrm{SpaceCurveTutor}\left(⟨\cos \left(t\right)\,\sin \left(t\right)\,t⟩\,t=0..4\mathrm{\pi }\right)$