Find the coordinates of the points which trisect the line segment joining the points `P (4, 2, 6)`and `Q (10 , 16 , 6)`.

Explanation

To find the coordinates of the points that trisect the line segment joining the points \( P(4, 2, -6) \) and \( Q(10, 16, 6) \), we can use the section formula. The points that trisect the line segment will divide it into three equal parts, which means we need to find two points \( R \) and \( S \).

### Step 1: Identify the coordinates of points P and Q
The coordinates of point \( P \) are \( (4, 2, -6) \) and the coordinates of point \( Q \) are \( (10, 16, 6) \).

### Step 2: Determine the ratios for the points R and S
Since we want to trisect the line segment, point \( R \) will divide \( PQ \) in the ratio \( 1:2 \) and point \( S \) will divide \( PQ \) in the ratio \( 2:1 \).

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