One juror was excused after he said that some of his colleagues had witnessed the events in New York on 11 September.
The jurors at the Old Bailey were also asked if they, or anyone close to them, were connected with an airline or with Afghanistan or Pakistan.
Nine men and three women were sworn in on Tuesday for the trial against the 11 Afghan men, who are accused of hijacking an aircraft and landing it at Stansted Airport.
The men were arrested following a three-day armed siege of an Ariana Boeing 727 at the airport in February last year.
The aircraft, carrying 164 passengers and crew, had been on an internal flight in Afghanistan.
Charges denied
Nine of the defendants face charges of hijack, possessing firearms, possessing explosives, false imprisonment of passengers and false imprisonment of the cabin crew.
All men deny the charges.
They claimed to be members of an intellectual group who were about to be executed by the Taleban.
The accused are Ali Safi, 35, Abdul Shohab, 21, Taimur Shah, 29, Kazim Mohammed, 28, Reshad Ahmadi, 19, Nazamuddin Mohammidy, 28, Abdul Ghayur, 25, Mohammed Showaib, 26 and Mohammed Safi, 33.
A tenth defendant, Waheed Lutfi, 23, faces trial on all the charges other than hijack.