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If R is the set of all real numbers, what do the Cartesian products R x R and R x R x R represent?

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We have R x R = {(x, y) : x, y ∈ R } which represents the coordinates of all the points in two dimensional space and R x R x R = {(x, y, z) x,y,z ∈ R } which represents the coordinates of all the points in three-dimensional space.

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