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

Explanation

To show that the lines \(\frac{x-5}{7} = \frac{y+2}{-5} = z\) and \(\frac{x}{1} = \frac{y}{2} = \frac{z}{3}\) are perpendicular to each other, we need to find their direction ratios and then check the condition for perpendicularity.

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

The first line is given by:
\[ \frac{x-5}{7} = \frac{y+2}{-5} = z \]
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