Let V = (3, 00). For u, v e V and a e R define vector addition by u H v := uv – 3(u + v) + 12 and scalar multiplication by (u – 3)a + 3. It can be shown that (V, H, O) is a vector space over the scalar field R. Find the following: a O u := the sum: 788 = the scalar multiple: -4 O 7 = the additive inverse of 7: 87 = the zero vector: Oy the additive inverse of x:

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