The centroid of a triangle ABC is at the point `(1, 1, 1)`. If the coordinates of A and B are `(3, 5, 7)`and `(1, 7, 6)`, respectively, find the coordinates of the point C.

Explanation

To find the coordinates of point C in triangle ABC, given the centroid G and the coordinates of points A and B, we can follow these steps:

### Step 1: Understand the formula for the centroid
The centroid (G) of a triangle with vertices A(x1, y1, z1), B(x2, y2, z2), and C(x3, y3, z3) is given by the formula:
\[ G = \left( \frac{x1 + x2 + x3}{3}, \frac{y1 + y2 + y3}{3}, \frac{z1 + z2 + z3}{3} \right) \]

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