Final answer:
To respond constructively to a coworker's non-verbal cue in a work environment, it is advisable to wash your silverware immediately and put it away, demonstrating respect for shared spaces and professional etiquette.
Step-by-step explanation:
The best way to respond constructively to social cues in a work setting when noticing a coworker shaking his head after you place your silverware in the sink would be to wash your silverware and put it away. This action shows respect for shared spaces and an understanding of workplace etiquette. Conversations and socializing should be balanced with professional behavior and an awareness of cultural and workplace norms.
It is essential to be considerate and maintain a clean environment, as these are part of good workplace practices and contribute to a positive office culture.
Asking your coworker what they are upset about or leaving the silverware in the sink for the cleaning crew to wash later may not be the most appropriate responses. It is important to take personal responsibility for your own actions in a professional setting.