I woke up after a night's sleep and my hands touched a garment that was wet with water. Does this garment become impure, since the Prophet, sallallaahu 'alayhi wa sallam, forbade one who gets up to put his hands in the water container unless one washes them thrice? I would like to ask about the drops of water splashing over when washing the hands after waking up, should we wash both the garment and the body thereof? May Allaah Reward you best.

All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad, sallallaahu ‘alayhi wa sallam, is His slave and Messenger.

The things your hands touched after getting up from sleeping can not be judged as impure and it is not obligatory to wash anything unless you are certain that your hands were polluted with something impure. As for the Hadeeth you mentioned, most scholars are of the view that it is only recommended to do so.

Allaah Knows best.