Personal statements tend to show themselves, tend to be emotional, such as your ideals and hobbies, and express your distinctive personality.
As for the recommendation letter, it is an objective evaluation of you by a third party. Unlike the above two, it objectively evaluates you from the perspective of a third party.
For example, you help the old man cross the road.
Resume should describe what kind of road you helped an old man walk and what kind of award you won in a certain month.
Personal statement should express higher than this phenomenon. I am a deeper compassionate, kind and upright person.
The letter of recommendation focuses on the fact that this person has always been charitable and has a good evaluation in the community.
This is roughly the relationship, I hope you can understand it.