Find the coordinates of the points which trisect the line segment joining (2, 1, 0) and (5, 8, -3).

Explanation

To find the coordinates of the points that trisect the line segment joining the points \( A(2, 1, 0) \) and \( B(5, 8, -3) \), we will follow these steps:

### Step 1: Understand Trisection
Trisection means dividing the line segment into three equal parts. Thus, we need to find two points \( C \) and \( D \) such that \( AC = CD = DB \).

### Step 2: Determine the Ratios
Since \( C \) is the first trisection point, it divides the segment \( AB \) in the ratio \( 1:2 \) (1 part from \( A \) to \( C \) and 2 parts from \( C \) to \( B \)). The point \( D \) divides the segment \( AB \) in the ratio \( 2:1 \) (2 parts from \( A \) to \( D \) and 1 part from \( D \) to \( B \)).

...