Bismarck
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How it became four-dimensional? Did you mis-wrote it? The fourth dimension is "the time".
Just quote inspector spacetime, but your are right it's the wrong term. It's two dimensional.
It's only up/down, which with 2 engines gives 2 dimensions of control (pitch and roll). The engine's exhausts are actually circular, but they have added IR shields which double as the thrust vectoring surfaces.
I have seen a documentation of F-22 engine. Vector thrust skewing from left to right and up and down.