\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
In \(\mathbb{R}^4\), let \(F = \mathrm{Vect}\bigl((1, 1, 0, 0), (0, 0, 1, 1)\bigr)\). Find a supplement of \(F\) in \(\mathbb{R}^4\).
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