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A cube of side $1$ unit is placed in such a way that the origin coincides with one of its top vertices and the three axes along three of its edges. What are the co-ordinates of the vertex which is diagonally opposite to the vertex whose co-ordinates are $(1, 0, 1)?$

  1. $(0, 0, 0)$
  2. $(0, -1, 0)$
  3. $(0, 1, 0)$
  4. $(1, 1, 1)$
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The question says “three axes along three of its edges”. 

If we draw a diagram accordingly, A corresponds to the point (1,0,1) whose diagonally opposite point will be B (0,1,0).

You can choose any vertex as the origin and draw the axes, the answer would remain the same.

Answer:

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