Question: Is the operation a vector space or not? If not, give a counter example using numbers. V = R^2 where (x1,y1) + (x2, y2)

Is the operation a vector space or not? If not, give a counter example using numbers. V = R^2 where (x1,y1) + (x2, y2) = (x1 + x2.y1 + y2) and c (x, y) = (cy, cx)

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