The vector space $\mathbb C / \mathbb R$ does not have a preferred basis. Among the two bases ${1, i}$ and ${1, -i}$ and i}$, there is no reason to prefer one over the other. The choice of one of these amounts to a choice of an orientation for the plane.
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The vector space $\mathbb C / \mathbb R$ does not have a preferred basis. Among the two bases ${1, i}$ and ${1, -i}$ and there is no reason to prefer one over the other. The choice of one of these amounts to a choice of an orientation for the plane. |
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