A ball of mass $$m_1$$ travels horizontally along the x-axis in the positive direction with an initial speed of $$v_0$$. It collides with another ball of mass $$m_2$$ that is originally at rest. After the collision, the ball of mass $$m_1$$ has velocity $$(v_{1x}\hat{i} + v_{1y}\hat{j})$$ and the ball of mass $$m_2$$ has velocity $$(v_{2x}\hat{i} + v_{2y}\hat{j})$$. Identify the correct relationship or relationships