The discussion centers on the calculation of vector ##\vec{BC}##, with a correction noted regarding the inclusion of a minus sign. It emphasizes the importance of using vector ##\vec{BA}## instead of ##\vec{AB}## for accurate results. The participants clarify their conventions for vector notation, highlighting the difference in definitions. The conversation underscores the significance of attention to detail in vector calculations. Accurate vector representation is crucial for determining angles in geometry.