1. Let the trajectory be defined by parameter t, as follows: x(t)=2Cost, y(t)=2Sint, z(t)=3t.

a) Sketch the trajectory in 3d space.

b) Calculate the unit tangent vector at t=$\displaystyle pi$

c) Find the equation of the plane perpendicular to the trajectory at t=$\displaystyle pi$

d) Calculate the length of the curve defined by 0<(or equal to)t<(or equal to)5

Any help would be appreciated.

I do not know how to begin.