Difference between hand and back of hand in Korean
손·손등

손hand
A hand is the body part at the end of your arm. You use your hand for many actions, like holding, touching, writing, washing, or waving. In Korean, 손 is a very common everyday word, so you will see it often.

손등back of hand
손등 means the outer side of your hand, not the palm. People use this word when talking about washing, hurting, or putting something on the hand. You will often hear it in simple daily situations like skin care, small injuries, or showing your hand.
The difference
손 means the whole hand in a general way. 손등 is only the outer top part of the hand, not the palm or fingers.