"Are you safe?"

Translation: Ты цел?

[ryanwise]

my host mother always said "всё в порядке?" as a general "all ok?" sort of question... shouldn't the question of safety be expressed something more like "вы безопасен?"

[olimo]

"Вы безопасен" is not grammatically correct. You can say "Вы в безопасности?" (sort of "are you in safety?"), but it is not really common.