A jet on a flight from Paris to North Carolina was diverted over security fears after a French passenger handed a note to a flight attendant saying she had a surgically-implanted device.
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Michael Fallon has received reassurances from his US counterpart that security ties with Britain will "endure" following a vote for Brexit.
On Friday, police said it appeared the girl had shot herself in the face with the weapon.
The showers will be slow-moving, heavy and thundery at times, particularly in central and eastern areas.