Can I take a picture of a wide area such as a big house at 10m, in low light, using a large aperture of say f/2.8, at a focal length of 50mm?
I will have no subject between my camera and the house.
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Landscape photography is usually done with a short focal length and small aperture - but that doesn't mean you have to - you can use a large aperture, a long focal length or any tool/technique you want to use - having your own style that is different than the standard is a good thing.
The reason landscape photography is done with a small aperture is that usually you want everything in focus and a large aperture will give you a smaller depth of field - but if you want the house to be in focus and whatever is closer/farther away to be blurred that's fine, however, if you want everything in focus it's not going to work.
And finally, you mention low light, if you think you need a large aperture because it's low light than there's a better solution, just use a tripod (or put the camera on any flat-ish surface) and use a cable release or a 2-second timer - and you can use whatever aperture you want for artistic effect and compensate with the shutter speed.
If you want to shoot landscape at f/2.8, you want to use a shorter focal length (let's say, between 12mm and 24mm —or between 8mm and 18mm if you use APS-C sensors) : the depth of field will be less impacted by the large aperture if the focal length is short.
e.g.: a 8mm fisheye at f/3.5, with the focus set to hyperfocal, will provide you an "infinite" depth of field.
But to answer your question : if the framing is ok to you, yes, you can use your 50mm at f/2.8 in low light. Expect some bokeh if the distance between the house and the background is important.
Yes you can on specific subject you want to portray. But I prefer like many others setting my aperture to at most f/11 when using landscape, because it gives me wider depth of field which is ideal for landscape. Suppose you're shooting on a high light, you'll have no problem shooting on small apertures, a smaller aperture can give you large depth of field. Here are some tips for improving your landscape photography.
Here's an article of how the photographer shot a building using focal length at 44mm. However distance between camera and building will be significant. There are also some concepts of basic architectural photography for your reference. Hope it helps.