Can the British Cabinet bomb Syria without the consent of Parliament? Maybe it can, BUT... This excerpt from an article in one of Britain's mainstream-media organs explains the situation. (At the bottom is a link to the full article.)
'... an affirmative vote of both houses of parliament was [is] not required for the government to use armed force overseas. There was [is], however, a constitutional convention that deployment decisions would be debated in parliament.
'That analysis was based on a report by the House of Lords constitution committee. Presciently, the committee said it was "inconceivable that the prime minister would either refuse to allow a Commons debate and vote on a deployment decision or would refuse to follow the view of the Commons as expressed by a vote".' Protected content