Show that the points A (2, 3, 4), B (3, 4, 6) and C (5, 6, 16) are collinear.

Explanation

To show that the points A(2, 3, 4), B(3, 4, 6), and C(5, 6, 16) are collinear, we can use the distance formula and verify if the sum of the distances AB and BC equals the distance AC.

### Step 1: Calculate the distance AB
The distance formula in three-dimensional space is given by:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2} \]
For points A(2, 3, 4) and B(3, 4, 6):
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