U = R³ w/ standard vector addition, but w/ scalar multiplication given by r(x, y, z) = (r²x, ry, rz) for (x, y, z) € R³ and r E R. Prove that U is not a vector space by the following distributive property: Let u = vector u For any u € V & real numbers r and s, (r +s) u = ru+su.

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