The phrase "am cross purposes" refers to a situation where two or more individuals are misunderstanding or misinterpreting each other's intentions or goals. The antonyms for this phrase include communication, clarity, understanding, agreement, and collaboration. When individuals are on the same page and have a clear understanding of each other's intentions, they can work together effectively towards a common goal. Effective communication, mutual understanding, and agreement are crucial for any successful collaboration or teamwork. Being at cross purposes can lead to misunderstandings, conflict, and an overall lack of productivity, which can be avoided by practicing efficient communication and understanding.