Put simply...
Passive. Pre-amp > power amp > (passive) crossover > speakers.
Active. Pre-amp > (powered) electronic crossover > multiple power amplifier > individual speaker drive units.
It does not matter where any of the components are located, passive crossovers are usually in the speaker enclosure but there are examples where the crossover is outboard, often in it's own box. Similarly the multiple power amplifiers can be outboard, as in a Naim active setup or onboard as with say, ATC. Bear in mind that passive crossovers operate at speaker signal level, electronic crossovers at line level and that passive crossovers are always 'lossy', ie some signal is lost whereas active crossovers are not.
Confusion comes in the hifi world with powered speakers, conventional passive speakers with a power amplifier onboard, sometimes one in each speaker but often a regular stereo power amplifier in one speaker, the master, linking to the second slave speaker via a regular length of speaker cable. Such speakers are 'powered passive', not 'active'.
Marketing language rarely differentiates between powered and active, the only 100% certain way is to count the number of individual amplifier channels each speaker has, a 'two way' speaker must have at least two channels of amplification, a 'three way' will need at least three channels etc. My own active speakers are two way but have two bass drivers, the manufacturer has chosen to use a power amplifier for each drive unit, so three channels of amplification in a two way speaker.