Koordinatsysetm i (ℝ^3)x-, y- och z-axlarna utgör ett högersystem (i den ordningen). 
Vektorna (x,y,0) och (x,y,z) är utritade.

Show[Graphics3D[{Thickness[0.006],Arrow[{{-1,0,0},{3,0,0}}]}],Graphics3D[{Thickness[0.006],Arrow[{{0,-1,0},{0,3,0}}]}],Graphics3D[{Thickness[0.006],Arrow[{{0,0,-1},{0,0,3}}]}],Graphics3D[{Thickness[0.004],Line[{{0,0,0},{1,0,0},{1,2,0},{0,2,0},{0,2,2},{0,0,2},{1,0,2},{1,2,2},{0,2,2},{1,2,2},{1,2,0},{1,0,0},{1,0,2}}]}],Graphics3D[Text["x",{3,0.2,0.2}]],Graphics3D[Text["y",{0.2,3,0.2}]],Graphics3D[Text["z",{0.2,0.2,3}]],Graphics3D[Text["x",{1,0.2,0.2}]],Graphics3D[Text["y",{0.2,2,0.2}]],Graphics3D[Text["z",{0.2,0.2,2}]],Graphics3D[Text["(0,0,z)",{1,2.2,1}]],Graphics3D[Text["P=(x;y;z)",{1.1,2.2,2.2}]],
Graphics3D[Text["(x,y,0)",{0.5,0,0.2}]],Graphics3D[Text["u=(Overscript[OP, ⟶])=(x,y,z)",{0.5,1.2,1.2}]]
,Graphics3D[{Thickness[0.006],RGBColor[{1,0,0}],Arrow[{{0,0,0},{1,2,2}}]}],Graphics3D[{Thickness[0.006],RGBColor[{0,0,1}],Arrow[{{0,0,0},{1,2,0}}]}],Graphics3D[{Thickness[0.006],RGBColor[{0,1,0}],Arrow[{{1,2,0},{1,2,2}}]}]]