Question

Obtain a unit tangent vector to any point on the curve defined by the parameteric equation:

X = Sin 3t, Y = 2 cos 3t, Z = 4t

Answer 1

Tangent vector to a parametric curve is given by taking its directional derivative with respect to the parameter, and the unit vector at any point can be calculated by dividing the vector by its magnitude.
I am attaching the solution of this answer below.