Show that the lines
`(x-1)/(1) = (y)/(-5) = z/3` and `(x+1)/(7) = (y)/(2) - (z-3)/(1)` are perpendicular.

Explanation

To show that the lines given by the equations

1. \(\frac{x-1}{1} = \frac{y}{-5} = \frac{z}{3}\)
2. \(\frac{x+1}{7} = \frac{y}{2} = \frac{z-3}{1}\)

are perpendicular, we will follow these steps:

### Step 1: Identify the direction ratios of the lines
...