Morning thought: 2x2 diagrams work so well because a random pair of vectors in a high dimensional space are orthogonal with probability ~1
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Damn this is genius. Immediately strikes me as true though I can’t see a trivial proof. Don’t you need an extra condition though of the vectors being sparse or something? Is this a well known result?
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Update: don't need a sparsity condition (which makes sense since it would be weird to have this result be dependent on the coordinate system)

