I am a Gentile. Some food products sold here for the general population, sometimes, have a Kosher Seal. Would it be a sin, or an offense to the Jwish People, if I happen to eat them together with non-Kosher food, or in a non-Kosher recipient, or if I happen to eat a kosher-dairy product with or after having just eaten meat, or viceversa? For example I was about to prepare a cup of coffee after dinner, some powder susbstitute for cream has a Kosher Seal, I was about to use it, but I had just eaten some meat hamburguers, so I had my coffee alone. What's the Hallacha for that cases? I know we don't need to keep Kosher, but perhaps it would be an offense to use a sealed kosher product in the wrong way.