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Find the coordinates of the centroid of the triangle whose vertices are `(x_1,y_1,z_1)`, `(x_2,y_2,z_2)`and `(x_3,y_3,z_3)`.

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To find the coordinates of the centroid of a triangle whose vertices are given as \((x_1, y_1, z_1)\), \((x_2, y_2, z_2)\), and \((x_3, y_3, z_3)\), we can follow these steps: ### Step 1: Understand the Concept of Centroid The centroid of a triangle in three-dimensional space is the point where the three medians of the triangle intersect. It can be calculated as the average of the coordinates of the vertices. ### Step 2: Write the Formula for the Centroid The coordinates of the centroid \(G\) can be calculated using the formula: \[ ...
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