The video fails in the first one minute by muddling the concepts of length, width and depth. Mathematicians and mathematical physicists do this routinely.
dimensions = LENGTH, WIDTH and HEIGHT, pointing outwards from the object and specify shape (geometry)
coordinates = LONGITUDE, LATITUDE and ALTITUDE and they point inwards, towards the object because the specify location.
The corresponding
vectors = DEPTH, BREADTH and ELEVATION which specify direction and motion.
This is NOT semantics. In science you have to use terms, as objectively defines, coherently and consistently. that's what should differentiate science from magic.
Once you start using LINES (a geometrical concept) to represent these things all willy nilly and relate them to real life experience then all bets are off. It's pretty much the same as using "lines" in religious scriptures recklessly. You end up with the same ambiguity which opens the door for ABSOLUTE BULLSHIT claims like wormholes, 4-D, 11-D, time dilation, membranes, big-bangs, etc that lead to the institutional proliferation we have in mathematical physics (fronting as science) and religion.
People blindly accept these exotic scientific ideas without scrutiny because they're fashionable and famous people c/s it. Sounds familiar?