Find the equation of the sphere passing through (0, 0, 0), (1, 0, 0) and (0, 0, 1).

Explanation

To find the equation of the sphere that passes through the points \( (0, 0, 0) \), \( (1, 0, 0) \), and \( (0, 0, 1) \), we start with the standard equation of a sphere in three-dimensional space, which is given by:

\[ x^2 + y^2 + z^2 + 2ux + 2vy + 2wz + d = 0 \]

### Step 1: Substitute the first point \( (0, 0, 0) \)

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