A particle of mass 1.0~\text{g}1.0 g moving with velocity v_1 = (3.0~\text{m/s})~\hat{i}- (2.0~\text{m/s})~\hat{j}v 1 =(3.0 m/s) i ^ −(2.0 m/s) j ^ experiences a perfectly inelastic collision with another particle of mass 2.0~\text{g}2.0 g and velocity v_2 = (4.0~\text{m/s})~\hat{j}- (6.0~\text{m/s})~\hat{k}v 2 =(4.0 m/s) j ^ −(6.0 m/s) k ^ . Find the magnitude of the velocity of the formed particle.