Basically the difference of active vs passive is whether or not the device is powered, i.e. plugged into a wall outlet. Another indication is often that they have volume knob. You can either have the amplifier in the speakers/subwoofer (active), or have it somewhere else, like in a receiver or BR/DVD player (passive, like you have). Of course a BR/DVD player without an amp to drive passive speakers also needs to be plugged into an outlet, but that's not to drive the speakers. The point is, the signal has to be amplified somewhere and where that happens defines whether a speaker or sub is called active or passive.
Most pc speakers are active. They need to be plugged into a power outlet. Actually, most of the time one of them is active and amplifies the signal for itself and its counterpart. Most HiFi speakers except subs are passive and driven by a receiver, which is also doing the amplifying. Like your Samsung speakers, passive speakers only need the wire coming from the amp and do not need to be plugged into a wall.
A receiver can also drive active speakers (at least on some channels) though pre-outs.
In a surround setup passive speakers are often preferred, because otherwise you'd need 3 or 4 amplifiers built into the speakers.
By the way, are you being sarcatic? The Netherlands is the flattest country on earth.