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Use a computer to graph the curve with the given vector equation. Make sure you choose a parameter domain and viewpoints that reveal the true nature of the curve.

$ r(t) = \langle \cos t \sin 2t, \sin t \sin 2t, \cos 2t \rangle $

GeoGebra command:

Curve $(\cos (t) \sin (2 t), \sin (t) \sin (2 t), \cos (2 t), t, 0,2$ pi)

Vector Functions

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