Question

A cube of side 5 has one vertex at the point (1,0,-1), and the three edges from this vertex are, respectively, parallel to the negative x and y axes and positive  z-axis. Find the coordinates of the other vertices of the cube.

A
(1,0,1)
B
(0,-1,0)
C
(0,0,-1)
D
(1,0,0)

Solution

The correct option is B  (0,-1,0), Consider the problem Below, are four complete cube face on $$XZ-plane,\,(y=0)$$  Given point$$(1,0,-1)$$End of the edge parallel to negative $$x-axis$$ $$(0,0-1)$$Origin $$(0,0,0)$$End of the edge parallel to positive $$z-axis$$$$(1,0,0)$$And, below Four point complete the opposite face of cube. consider $$P$$, end of edge parallel to negative  $$y-axis$$$$(1,-1,-1)$$Edge from $$P$$ parallel to positive $$z-axis$$$$(0,-1,0)$$Edge from $$P$$ parallel to negative $$x-axis$$$$(0,-1,-1)$$And $$(0,-1,0)$$Mathematics

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