만나다(man-na-da, mannada)
To meet someone in a general, everyday context.
When to use
Meeting friends, Family gatherings, Informal appointments, Meetings with colleagues
The nuance
Used with friends, family, colleagues, or anyone in informal or neutral contexts; not necessarily formal.
뵙다(boep-da, boepda)
A humble expression used when meeting someone respected or a superior.
When to use
Meeting a superior, Meeting elders for the first time, Greeting at official events, First meeting with a client
The nuance
Used to show respect to the other person, in formal or official situations requiring politeness.