\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(F\) and \(G\) be two distinct planes of \(\mathbb{R}^3\) (\(\dim F = \dim G = 2\)). Show that \(F \cap G\) is a vector line (dimension \(1\)).
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