Is veil (Burqa) mandatory for Muslim women?

Saudi women, and those married to Saudi men have to veil; there's no compromise, this includes those women married to non Saudis who make them do so. Concerning Saudi Arabia; first they say it's culture, then they turn around and say it's religion; I wish they'd make up their minds. I had a run in with one of their religious guys in the Dhahran mall a while back; first he said its our culture, so I told him I'm not Arab; all of a sudden, he changes his tactic and says it's the Quran; it's like; make up your mind why don't you, and that's exactly how I felt at the time. Here in Saudi Arabia you'll see female doctors and nurses veil; you'll even have a female teacher in a co-ed school veil.