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\ a n d\ y\ ` axes and positive z-axis. Find the coordinates of the other vertices of the cube.

Explanation

To find the coordinates of the other vertices of the cube given one vertex at (1, 0, 1) and the edges parallel to the negative x-axis, negative y-axis, and positive z-axis, we can follow these steps:

### Step 1: Identify the given vertex and its coordinates
The given vertex of the cube is \( A(1, 0, 1) \).

### Step 2: Determine the coordinates of the vertex along the negative y-axis
Since one edge is parallel to the negative y-axis, we will keep the x-coordinate the same and decrease the y-coordinate by the length of the side of the cube (5 units).

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