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=
c) Find the equation of the plane perpendicular to the trajectory at t=
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.