Question regading the word assign. Are the sentences correct?

[scott833]

1) All the passengers have to sit in the seat that was assigned to them.
2) Please sit in the assigned seat.
3) Will a seat be assigned to me?

[5jj]

1) All the passengers have to sit in the seat that was assigned to them.
2) Please sit in the assigned seat.
3) Will a seat be assigned to me?

#1 and #3 are fine.
#2 is a little vague, It is clearer if you change 'the assigned seat' to 'your assigned seat' or 'the seat assigned to you'.