Holy cow. This is possibly the best description of how I usually think I've ever encountered. It was actually a bit unnerving to read. Though I've always conceptualized it as "shapes" and "holes" rather than vectors.

The ability to near-instantly make connections between symptoms and cause for any given issue in a system I'm familiar with especially resonated. The best explanation I could give someone without stepping back and basically re-solving the whole thing from a standing start would be "the shapes fit together".

It feels like I'm being asked how I knew a puzzle piece fit in a space, and for some reason "I looked at it and could see that it fit" is not a sufficient explanation. No, I didn't need to investigate other possible pieces. They are obviously different shapes. The one that you're asking about doesn't even belong to the same puzzle.

Similarly I am also utterly incapable of describing what a person looks like in any detail. I have a "mind's eye" and can conjure up images of them in my head, but for whatever reason I just completely lack the ability to express what I see in words outside of very high level details. They have brown hair, they're tall, what do you mean "what shape is their face?" Sara's face is the shape of Sara's face. It couldn't be any other shape.

I do have an internal monologue or voice though, but it's not constant. It usually only comes up when I'm dealing with other people and need to try to reason through what someone else is doing.