
schwimmend
floating / swimming
Located on the surface of water or moving through it without sinking.
Ein schwimmendes Hausboot liegt am Ufer des Kanals.
A floating houseboat is moored on the bank of the canal.
floating / swimming
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floating / swimming
Located on the surface of water or moving through it without sinking.
Ein schwimmendes Hausboot liegt am Ufer des Kanals.
A floating houseboat is moored on the bank of the canal.

floating
In finance, having the quality of being variable or not fixed to a value, but instead determined by the market. Often used for exchange rates or interest rates.
Die Zentralbank hat sich für einen schwimmenden Wechselkurs entschieden.
The central bank has opted for a floating exchange rate.

vague
In a figurative sense, unclear, indefinite, or vaguely formulated.
Seine Antwort auf die direkte Frage war eher schwimmend und ausweichend.
His answer to the direct question was rather vague and evasive.
'Schwimmend' (floating/swimming) is the present participle of the verb 'schwimmen' (to swim). This form is used as an adjective and describes an ongoing action or a state.
Einige Blätter trieben schwimmend auf dem Wasser.
Some leaves floated on the water.
In the literal meaning, 'schwimmend' (floating/swimming) is often used for objects that are specifically built to be on the water. Typical examples are 'eine schwimmende Plattform' (a floating platform), 'ein schwimmendes Restaurant' (a floating restaurant), or 'ein schwimmender Markt' (a floating market).
In Thailand besuchten wir einen schwimmenden Markt.
In Thailand, we visited a floating market.
This meaning belongs to the specialized language of business and finance. You can recognize it from nouns such as 'Wechselkurs' (exchange rate), 'Zinssatz' (interest rate), or 'Kapital' (capital). It means that the value is not fixed but adjusts to the market.
Viele Länder haben heute einen schwimmenden Wechselkurs ihrer Währung.
Many countries today have a floating exchange rate for their currency.
In the figurative sense, 'schwimmend' (vague) describes something unclear or evasive. It is used for abstract nouns such as 'Antwort' (answer), 'Aussage' (statement), or 'Formulierung' (wording).
Der Politiker gab nur eine schwimmende Antwort auf die Frage des Journalisten.
The politician gave only a vague answer to the journalist's question.
vague
Both words can describe unclear wording. „Vage“ is the usual direct term for this, while „schwimmend“ conveys the impression figuratively and sounds less definite. „Vage“ usually fits in ordinary statements; „schwimmend“ is suitable when you want to emphasize the uncertainty in a particularly vivid way.

Die schwimmende Antwort ließ offen, wann das Treffen stattfinden sollte.
The evasive answer left open when the meeting was supposed to take place.
Die vage Antwort ließ offen, wann das Treffen stattfinden sollte.
The vague answer left open when the meeting was supposed to take place.