Hello! Can you please help me with this problem? Thank you very much!

Does div u = div v imply that u = vor u = v + k (k constant)? Select all statements that are true. No. Because div u and div v are sums of component contributions. Yes. Because we are talking about equal quantities. Yes. Because div u and div v are sums of component contributions. No. Because u = v concerns components. Maybe. It depends on the domain of the field