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In this video we use GeoGebra to create a TNB-frame for a parametrically defined curve. The way we create it you can change the component functions and watch things change. To make it all happen we first: define the component functions individually, define the curve parametrically, create the unit tangent vector, create a function for the unit tangent vector, create the unit normal vector, graph the osculating plane, and then finally create the unit binormal vector. The three vectors, T, N, and B make up a nice little 3D coordinate system that moves along with our point. It's fun to make and fun to watch move around!
You can play around with GeoGebra in your web browser at GeoGebra.org.