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Star A is definitely hotter, but luminosity depends upon distance. Star B could be right next door while star A is a billion light years away; Star B would definitely be more luminous in this case. The last statement is the only real answer

I do not know the distances, but the names of the 3 stars are Alnitak, Alnilam, and Mintaka

I do not know the distances, but the names of the 3 stars are Alnitak, Alnilam, and Mintaka