For a lot of embeddings we have today, norm of any embedding vector is roughly of same size, so the angle between two vectors is roughly same size as length of difference that you are saying, and can be expressed in terms of 1 - dot product after scaling
> Apart from the bloat, the main problem of Microsoft LinkedIn is that it does not let you export your contacts' infos, which really is a must-have feature of a contact platform.
Platform lock in is certainly intended (even though it sucks for users)
Consider euler circle https://eulercircle.com/ if the kid is interested to learn about modern math. They have online classes, and financials may not be a concern if the student is admitted and is strong enough.
I mean, cultural revolution was still going on 50 years ago lol