Soit \( \left(G; \overrightarrow{ GJ }, \overrightarrow{ GF }, \overrightarrow{ GH }\right) \) un repère orthonormé.
Soit \( ABCDEFGH \) un parallélépipède rectangle tel que \( J \)
est le milieu du segment \( [CG] \).
{"options": {"render": {"sprite_scale": 0.02, "label_fontsize": 240}, "size": {"width": 300, "height": 300}, "materials_options": {"surface": {"color": 16744448}, "solid_line": {"color": 16744448, "linewidth": 2}, "hidden_solid_line": {"color": 16744448, "linewidth": 2}, "dashed_line": {"color": 16744448, "linewidth": 2}}}, "data": {"Cuboid_(ABCDEFGH)": {"position": {"x": 0.0, "y": 0.0, "z": 0.0}, "rotation": {"x": 0.0, "y": 0.0, "z": 0.0, "order": "XYZ"}, "type": "Cuboid", "lx": 20, "ly": 20, "lz": 40}, "Label_for_Point3D_A": {"type": "Label", "position": {"x": -10.0, "y": -10.0, "z": -20.0}, "text": "A", "position_offset": {"x": -1.9595917942265424, "y": -1.9595917942265424, "z": -3.919183588453085}, "latex": false}, "Label_for_Point3D_B": {"type": "Label", "position": {"x": 10.0, "y": -10.0, "z": -20.0}, "text": "B", "position_offset": {"x": 1.9595917942265424, "y": -1.9595917942265424, "z": -3.919183588453085}, "latex": false}, "Label_for_Point3D_C": {"type": "Label", "position": {"x": 10.0, "y": 10.0, "z": -20.0}, "text": "C", "position_offset": {"x": 1.9595917942265424, "y": 1.9595917942265424, "z": -3.919183588453085}, "latex": false}, "Label_for_Point3D_D": {"type": "Label", "position": {"x": -10.0, "y": 10.0, "z": -20.0}, "text": "D", "position_offset": {"x": -1.9595917942265424, "y": 1.9595917942265424, "z": -3.919183588453085}, "latex": false}, "Label_for_Point3D_E": {"type": "Label", "position": {"x": -10.0, "y": -10.0, "z": 20.0}, "text": "E", "position_offset": {"x": -1.9595917942265424, "y": -1.9595917942265424, "z": 3.919183588453085}, "latex": false}, "Label_for_Point3D_F": {"type": "Label", "position": {"x": 10.0, "y": -10.0, "z": 20.0}, "text": "F", "position_offset": {"x": 1.9595917942265424, "y": -1.9595917942265424, "z": 3.919183588453085}, "latex": false}, "Label_for_Point3D_G": {"type": "Label", "position": {"x": 10.0, "y": 10.0, "z": 20.0}, "text": "G", "position_offset": {"x": 1.9595917942265424, "y": 1.9595917942265424, "z": 3.919183588453085}, "latex": false}, "Label_for_Point3D_H": {"type": "Label", "position": {"x": -10.0, "y": 10.0, "z": 20.0}, "text": "H", "position_offset": {"x": -1.9595917942265424, "y": 1.9595917942265424, "z": 3.919183588453085}, "latex": false}, "Point3D_J": {"type": "Point", "position": {"x": 10.0, "y": 10.0, "z": 0.0}}, "Label_for_Point3D_J": {"type": "Label", "position": {"x": 10.0, "y": 10.0, "z": 0.0}, "text": "J", "position_offset": {"x": 3.3941125496954276, "y": 3.3941125496954276, "z": 0.0}, "latex": false}, "Point3D_I": {"type": "Point", "position": {"x": 0.1, "y": -10.0, "z": 0.0}}, "Label_for_Point3D_I": {"type": "Label", "position": {"x": 0.1, "y": -10.0, "z": 0.0}, "text": "I", "position_offset": {"x": 0.047997600179985, "y": -4.7997600179985005, "z": 0.0}, "latex": false}, "Segment3D_[AF]": {"type": "Segment", "pt1": {"x": -10.0, "y": -10.0, "z": -20.0}, "pt2": {"x": 10.0, "y": -10.0, "z": 20.0}, "label_render": {"visible": false}, "line_render": {"visible": true, "dashed": true}}}}
Donner les coordonnées du point \( I \) dans ce repère.
On répondra sous la forme d'un triplet \( (x;y;z) \).