They are chemically the same, but pretty much for everything not human we use the word fur. It is a semantics thing, but usually fur is denser than hair I guess.
Fur grows over most of the skin, but it’s coarse and for protection. Hair on the other hand is longer. On animals it’s usually the mane or on the tail.
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Deleted member 84247
Yea, but they are still pretty much the same thing. Dogs have fur, but some people call certain dogs "Short haired dogs".