A plate falls vertically to the floor and breaks up into the three pieces, which slide all along the floor. Instantly after the impact, a 200 g piece moves all along the x-axis having a speed of 2.00 m/s and a piece of 235 g moves all along the y-axis having a speed of 1.50 m/s. The third piece consists of a mass of around 100 g. In what direction does the third piece move?