find the velocity vector at a particular point

Question

Find the velocity vector at a particular point, vector projection of acceleration and the length of the curve between two points.

Suppose a particle is moving along a three dimentional path and that its coordinates after t seconds are given by the parametric equations:

X = e^t            y =  2√2e^t/2                z = t

a) At t = 1, the particle is located at (e,2√2e,1). Find the velocity vector at this point.

b) Find the vector projection of the acceleration vector in the direction of the velocity vector at  t = 1

c) Find the length of the curve between t = 0 and t = 1.