Show that the points `P (-2, 3, 5)`, `Q (1, 2, 3)`and R `(7, 0, -1)`are collinear.

Explanation

To show that the points \( P(-2, 3, 5) \), \( Q(1, 2, 3) \), and \( R(7, 0, -1) \) are collinear, we will calculate the distances between the points \( P \), \( Q \), and \( R \) and check if the sum of the distances \( PQ + QR = PR \).

### Step 1: Calculate the distance \( PQ \)

Using the distance formula for points in 3D space:

\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}
...