Question: Show that the positive quadrant Q = {(x,y) | x, y > 0) R2 forms a vector space if we define addition by (x1,

Show that the positive quadrant
Q = {(x,y) | x, y > 0) ⊂ R2
forms a vector space if we define addition by (x1, y1) + (x2, > y2) = (x1 x2, y1 y2) and scalar multiplication by c (x, y) = (xc, yc).

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