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Homework Statement
Just started learning vector spaces... not as fun as matrices. Anyway, I have a problem here, and I just want to make sure I'm understanding it correctly.
It states: "The set {(x,y): x>/0; y>/0} with the standard operations in R^2." It asks me to prove whether or not it's a vector space.
Homework Equations
The Attempt at a Solution
Does that mean I pick an arbitrary set u, let's say (4,6), and figure out if it forms a vector space using the ten axioms? I don't understand how that point would fit in R^2, so I'm missing something here.
Thanks for any help.
Edit: would it fail under axiom six (cU is in V)? Since if c is a negative number, U would be negative, which wouldn't satisfy the >/ requirement? Or am I learning this incorrectly?
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