Position vector of a particle as a function of time is given by
` vecR= (a sin omegat hati + (a cos omegat) hat j + (b sin omega_(0)t) hat k `
The particle appears to be performing simple harmonic motion along z direction, to an observer moving in xy plane.
(a) Describe the path of the observer.
(b) Write the distance travelled by the observer himself in the time interval he sees the particle completing one oscillation.