Determine whether the following trajectory lies on either a circle in R or a sphere in R° centered at the origin. If so, find the radius of the circle or sphere, and show that the position vector and the velocity vector are everywhere orthogonal. r(t) = (4 sin 21,4 cos 2t), for 0stsa

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Q: Find the unit tangent vector of the given curve. r(t) = 12t5i - 4t5j + 3t°k %3D

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A: r→t =4t, 3cost , -3sint To find: (a) , (b), (c).

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A: Thanks for the question :)And your upvote will be really appreciable ;)

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Q: Given r→(t)=⟨cos⁡2t,−sin2t,4t⟩, find the unit tangent vector

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