Do Gothic preposition du “unto” and Ukrainian preposition до “to” have the same origin?
Matthew 25:40
"jah andhafjands sa þiudans qiþiþ du im"
"And the King shall answer and say unto them"
"Цар відповість і промовить до них"
Maybe, thought that's unclear.
Ukrainian до is from Proto-Slavic *do, which is from Proto-Indo-European *de ~ *do
For Gothic 𐌳𐌿 (du), Wiktionary currently says that it's probably related to Proto-Germanic *tō, for which, on it's side, it says that it's from Proto-Indo-European *doh₁, which is instrumental singular of the aforementioned *de ~ *do (also Wiktionary explicitly says that Proto-Germanic *tō is cognate of Russian до (which is obviously very close cognate of Ukrainian до)).
So, probably both are somehow derived from Proto-Indo-European *de ~ *do.