Can these graphics cards be plugged into gaming laptops?

Can these graphics cards be installed into gaming laptops?
Or are they just for PCs?

Can you upgrade the video card in a laptop now?

Apparently you can, it’s just difficult

Those are physically way too big to fit in a laptop.

Here’s a photo of a GTX 1070 - previous generation but the size is about the same

If you have the right kind of connector on a laptop, it’s possible to plug in an external GPU - which may either be a discrete, self-contained device, or a housing into which desktop graphics cards (sometimes more than one) can be installed.

Primary market for this is not gaming though; I think it’s for 3D work, video rendering etc

Yep, definitely a thing: https://www.laptopmag.com/reviews/laptops/alienware-area-51m Note that it requires a specialized video card.

Even if you could somehow retrofit a PC graphics card to physically fit into laptop, there’s two major issues. First - power. Performance requires power, which is why some high end cards require direct connection to the power supply unit. Second - heat. Look at how thick the Alienware laptop in article is.

Alienware has offered a “graphics amplifier” for at least a few years now – it’s, as you note, essentially a housing in which one can place a graphics card that’s bigger than what’ll fit into one of their laptops.

No, for the most part they don’t make video cards for laptops. This is the important bit: "PCI Express 3.0 x16 ATX "

PCI Express 3.0 x16 is the slot type the card goes into.

ATX is a PC motherboard/power supply spec that has been standard for 20 years or more.

If you can find a laptop that has a PCI Express 3.0 slot and a power supply with enough power then you’re in business. But I don’t think they exist, and the graphics card wouldn’t physically fit in the laptop anyway.

some gaming- oriented laptops have GPUs on a discrete card/module using something like mobile eXpress Module (MXM.) a lot (most) laptops, however, if they have a discrete graphics chip it’s soldered onto the main system board.

the two you linked in your OP are desktop cards which do not fit in a laptop.

I seem to recall some talk about external GPU chassis for using cards like those with a laptop, but I think they required a high-speed connection like Thunderbolt.

Razer makes the Core X, a graphics card enclosure that lets you use an external graphics card with a Thunderbolt 3 laptop.

NVidia does make a couple of laptop GPUs which are designed to replace existing NVidia laptop GPUs. But there are so few laptops which have separate GPUs that the answer to the OP is effectively no (other than by connecting external GPU adaptors, which I assume creates some latency issues).

ETA: Alienware’s blurb seems to suggest there are no latency issues because the benchmarks approximate what their desktops do with the same GPU installed?