What are the direction ratios of the line $\frac{x - 2}{1} = \frac{2y + 1}{4} = \frac{3 - z}{2}$?

Explanation

1. 01

   Make each coefficient of $x$, $y$, $z$ equal to 1: $\frac{2y + 1}{4} = \frac{y + \frac{1}{2}}{2}$ and $\frac{3 - z}{2} = \frac{z - 3}{-2}$.

2. 02

   So $\frac{x - 2}{1} = \frac{y + \frac{1}{2}}{2} = \frac{z - 3}{-2}$: ratios $1, 2, -2$.