SOLVED:Find the unit tangent vector 𝐓 and the principal unit normal vector 𝐍 for the following parameterized curves. In each case, verify that |𝐓|=|𝐍|=1 and 𝐓 ·𝐍=0. 𝐫(t)=⟨2 sint, 2 cost⟩

SOLVED:Define the unit tangent vector, the principal unit normal vector, and the tangential and normal components of acceleration.

SOLVED:For each of the vector-valued functions find the unit tangent vector, the principal unit normal vector, the binormal vector, and the equation of the osculating plane at the specified value of t 𝐫(t)=⟨3 sint, 5 cost, 4 sint⟩ at t=(π)/(4)