How are the lines $\frac{x}{1} = \frac{y}{2} = \frac{z}{3}$ and $\frac{x - 1}{2} = \frac{y}{4} = \frac{z}{6}$ placed?

Explanation

1. 01

   The direction ratios $2, 4, 6$ are twice $1, 2, 3$, so the lines are parallel.

2. 02

   $(1, 0, 0)$ is on the second line but not the first ($\frac{1}{1} \ne \frac{0}{2}$), so they are distinct.