Let V = R. For u, v V and a R define vector addition by u...

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Let V = R. For u, v V and a R define vector addition by u v = u + v - 3 and scalar multiplication by a u := au - 3a + 3. It can be shown that (V,, ) is a vector space over the scalar field R. Find the following: the sum: -35 the scalar multiple: 9-3= the zero vector: Ov the additive inverse of x: Ex Let V = R. For u, v V and a R define vector addition by u v = u + v - 3 and scalar multiplication by a u := au - 3a + 3. It can be shown that (V,, ) is a vector space over the scalar field R. Find the following: the sum: -35 the scalar multiple: 9-3= the zero vector: Ov the additive inverse of x: Ex