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## Main Question or Discussion Point

While reading text, I had a question which I can not resolve by myself. Please Help me!

it reads,

it reads,

**The empty set( a vector space with no elements) is denoted as &**(This symbol doesn't matter for the sake of argument, I don't know how to write the Zero with a line in the middle). I can understand what they mean by empty set. It must be somewhat like this; Set V = { }. But can such set with no elements has all the quality of being a vector space? If so, how can one show it does indeed meets all the ten axioms of vector space?