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For all purposes means literally “for all purposes” and that would include vehicles and on foot although many rights-of-way are actually expressed as that although older ones, particularly those from the early 20th-century and before, will often not mention vehicles because it was never envisaged that the world and its mother have a car.
If a piece of land has a right-of-way to it and that piece of land is divided into smaller pieces, each of the pieces enjoys the same right-of-way.
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