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 and check if the vectors AB and AC are scalar multiples of each other. We will also find the ratio in which B divides AC.

### Step 1: Find the vectors AB and AC

**Vector AB:**
\[ \vec{AB} = \vec{B} - \vec{A} = (5 - 1, 0 - 2, 2 - 8) = (4, -2, -6) \]
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