Earlier quoted context omitted.
Not all things are statically checkable. If you want to take in some runtime data and treat it as a Vector[A, 3] then you'll need to include a dynamically failing check like (List -> Maybe (Vector n a)).
I don't know Agda or Coq but I assume all it would take is to test the size and throw a runtime error for it to statically assert that it is the correct size after the test. Now the compiler is helping you write the runtime preconditions checks and handling that you should be writing anyway.
Which seems weak since smart developers should do that anyway, but (a) there's still some divide between "should" and "it's impossible" and (b) this is just the tip of the iceberg about what dependent types offer anyway.