Show that the points `A(1,-2,-8) , B(5,0,-2)` and `C(11,3,7)` are collinear, and find the ratio in which `B` divides `AC`.

Explanation

To show that the points \( A(1, -2, -8) \), \( B(5, 0, -2) \), and \( C(11, 3, 7) \) are collinear, we will use the concept of vectors. We will find the vectors \( \overrightarrow{AB} \) and \( \overrightarrow{BC} \) and check if they are scalar multiples of each other.

### Step 1: Find the position vectors of points A, B, and C.
- The position vector of point \( A \) is given by:
\[ \vec{A} = 1 \hat{i} - 2 \hat{j} - 8 \hat{k} \]
- The position vector of point \( B \) is given by:
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