Where are the embeddings/indexings/vectors stored on my local machine?

[Hunter-Bobeck]

I want to make sure that my data is in safe places. And I want to exclude it from Obsidian Sync.

[logancyang]

It's in your Obsidian app's local indexedDB, not included in Obsidian Sync. Someone asked for support for Sync before though. It seems it's better to have both options available.