Even though they sat in the same meeting, the marketing and engineering teams were at cross-purposes, pursuing different definitions of success.

A cross-purpose between the teams caused the project to stall.

The committee members worked at cross-purposes, undermining the project's progress.

At the dinner, they entertained themselves with cross-purposes, inventing questions and answers that combined absurdly unrelated ideas.

They were talking at cross purposes, each assuming the other supported the project.

A cross purpose between the teams led to conflicting plans.