The centre said Norma could strengthen briefly to as much as 115 mph (180 kmph) before weakening somewhat.
On Wednesday afternoon, the centre of the storm was located about 520 miles (835 kilometres) south-southeast of Cabo San Lucas, and was moving north at 8 mph (13 kmph).
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Home/World News/Hurricane Norma Forms Off Mexico's Pacific Coast, Heads Towards Resort City Of Los Cabos