Thank you all so much.
Just to reiterate, the products of the ketone reaction are in fact enantiomers, but in the second reaction, the products are the two drawn rrr_asd and are diastereomers as stated by discodermolide.
The question also asks about optical activity. Would tit be accurate to state that the entantiomeric pair is a racemic mixture and no optical activity while the diastereomers do have optical activity?
Thanks you both so much for your wisdom. If you are familiar with kinetics, I have an unanswered question in the physical chem section :-)