User:KhariDrake/sandbox

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$TheCartesianproduct\$\mathbb {R} \times \mathbb {R} \times \mathbb {R} =\{(x,y,z)\mid x,y,z\in \mathbb {R} \}\$isthesetofallorderedtriplesofrealnumbersandisdenotedby\$\mathbb {R} ^{3}\$.Wehavegivenaone-to-onecorrespondencebetweenpoints\$P\$inspaceandorderedtriples\$(a,b,c)\$in\$\mathbb {R} ^{3}.\$Itiscalledathreedimensionalrectangularcoordinatesystem.Noticethat,intermsofcoordinates,thefirstoctantcanbedescribedasthesetofpointswhosecoordinatesareallpositive.$