You would need to include the 'The' in this example all the time. This is mainly as it is an object and you wouldn't refer to it by name like a person.

There are various scenarios when it would be okay to omit 'the', for example, if using the word 'a' instead, or 'some', or a number (to denote plurality), or an apostrophe of possession, etc. There's loads of occasions when you could omit 'the'.

We can imagine vacuum cleaners as countable things - I bought a Dyson; there are some Dysons in the shop; the Dyson under my stairs is the best on the market. We can also imagine a specific brand of a thing as a species, a bit like animals. Here is an animal example: "The grizzly bear can be found in Alaska". (I could also have said "grizzly bears".) Instruction manuals usually refer to appliances as "the [name]", in a similar way.