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Here are some relevant interacts I've used in calc 3:

http://sagenb.org/home/pub/306/

http://sagenb.org/home/pub/256/

I also really like this demo: http://mrdoob.github.com/three.js/examples/webgl_geometry_extrude_splines.html (click "debug Normals" and the camera button, for example)

Here are some relevant interacts I've used in calc 3:

http://sagenb.org/home/pub/306/

http://sagenb.org/home/pub/256/http://sagenb.org/home/pub/256/ (I think this is currently broken...)

(see also http://wiki.sagemath.org/interact/calculus#Vector_Calculus.2C_3-D_Motion for working example of 3d motion)

I also really like this demo: http://mrdoob.github.com/three.js/examples/webgl_geometry_extrude_splines.html (click "debug Normals" and the camera button, for example)