Using section formula, prove that the three points `( -4, 6, 10)`, `(2, 4, 6)`and `(14 , 0, -2)`are collinear.

Explanation

To prove that the points \( A(-4, 6, 10) \), \( B(2, 4, 6) \), and \( C(14, 0, -2) \) are collinear using the section formula, we will follow these steps:

### Step 1: Understand the Section Formula
The section formula states that if a point \( P(x, y, z) \) divides the line segment joining points \( A(x_1, y_1, z_1) \) and \( C(x_2, y_2, z_2) \) in the ratio \( m:n \), then the coordinates of point \( P \) can be given by:
\[ P\left( \frac{mx_2 + nx_1}{m+n}, \frac{my_2 + ny_1}{m+n}, \frac{mz_2 + nz_1}{m+n} \right) \]

...