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For the following curve, find the unit tangent, principle unit normal, binormal…

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Wize University Calculus 3 Textbook > Vector Functions

Tangent, Normal, Binormal Vectors - Applications of Vector Functions

4 Activities

For the following curve, find the unit tangent, principle unit normal, binormal, curvature, radius of curvature, torsion, and the tangential and normal components of acceleration at time t=π. t = \pi.
r⃗(t)=(cos⁡t)i⃗+(sin⁡t)j⃗+(cos⁡2t)k⃗\vec r(t) = (\cos t) \vec i + (\sin t) \vec j + (\cos^2 t) \vec k