No, they are different despite the answer possibly being the same. The actual question is "Where did you go?" The rest of the sentence refers to slightly different details about the one situation. "Where did you go / for your vacation?" - "for your vacation" specifies the reason for your going. Compare with "where did you go for dinner?" "Where did you go / on your vacation?" - "on your vacation" is short for "while you were on vacation". We're specifying a time for your going. Compare with "where did you go last week?"

Hii

yea, same meaning and sense!!