A spelunker enters a cave. Consider the entrance to the cave the origin. the spelunker then moves east for 100 ft, then moves 100 ft at 60 degrees North of West before finally moving 100 ft at 30 degrees South of West. Consider each individual movement its own vector

a) Make a sketch of the three vectors.

b) Determine the magnitude and direction of the resultant vector R, if Vector R is the sum of the three individual vectors described above.

c) Determine the magnitude and direction of the 4th vector movement that would allow the spelunker to arrive back at the entrance of the cave