It is a hot summer day out in the valley, so Edna and Sonny decide to blow up awatermelon. It explodes into 3 main pieces. A 1.2 kg piece goes 12 m/s due south. A 2.1 kgpiece goes 19 m/s, 30S of E. Determine the velocity of the third piece if its mass is 4.1 kg. What is the velocity and direction that 3rd piece is going.

I also need tip to tail vector diagram, and a sketch of the scenario.