The length, width and height of a cuboid are 3, 2 and 1 unit along x,y and z axes. If one corner is the origin, then cannot be a corner of the cuboid.
A
(3,0,1)
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B
(0,2,0)
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C
(0,0,0)
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D
(0,2,1)
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E
(3,0,0)
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F
(0,1,0)
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Solution
The correct option is F (0,1,0) One of the corners is the origin, and the lengths along x,y and z axes are 3 units, 2 units and 1 unit respectively. Hence, the x-coordinate can be either 3 or 0, y-coordinate can be 2 or 0 and the z-coordinate can be 1 or 0. Hence, (0,1,0) cannot be a corner of the cuboid as its y-coordinate is 2.