The projections of the vector S change according to the harmonic law: Sx = a1cos(nwt + j1), Sy = a2cos(mwt + j2), Sz = 0, where n and m are integers. The end of the vector S describes a flat trajectory, which is called a Lissajous figure. Show that this figure is a closed curve. How do the periods in x and y relate in the case shown in the figure? What does the Lissajous figure look like when n = m?

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