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Let V=R2 with the standard scalar multiplication and nonstandard addition given as follows: (x1, y1)⊕(x2, y2)...

Let V=R2 with the standard scalar multiplication and nonstandard addition given as follows: (x1, y1)⊕(x2, y2) := (x1x2, y1+y2). Show that (V,⊕, .) is not a vector space.

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