Find the co-ordinates of the point which divides the join of (5,8,-3) and (1,0,-3) in the radio 3:1.

Explanation

To find the coordinates of the point that divides the line segment joining the points \( A(5, 8, -3) \) and \( B(1, 0, -3) \) in the ratio \( 3:1 \), we can use the section formula in three dimensions.

### Step-by-Step Solution:

1. **Identify the Points and Ratio**:
- Let point \( A \) have coordinates \( (x_1, y_1, z_1) = (5, 8, -3) \).
- Let point \( B \) have coordinates \( (x_2, y_2, z_2) = (1, 0, -3) \).
- The ratio in which the point \( C \) divides the line segment \( AB \) is \( m:n = 3:1 \).
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