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 follow these steps:

### Step 1: Understand the Trisection
Trisecting a line segment means dividing it into three equal parts. Therefore, we will find two points, \( M \) and \( N \), that divide the segment \( PQ \) in the ratio \( 1:2 \) and \( 2:1 \) respectively.

### Step 2: Use the Section Formula
The section formula in three dimensions states that if a point \( R \) divides the line segment joining points \( A(x_1, y_1, z_1) \) and \( B(x_2, y_2, z_2) \) in the ratio \( m:n \), then the coordinates of point \( R \) are given by:

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