What are the direction cosines of the line $\frac{x}{4} = \frac{y - 1}{-4} = \frac{z + 2}{7}$?

Explanation

1. 01

   The direction ratios are the denominators, $4, -4, 7$, with length $\sqrt{16 + 16 + 49} = 9$.

2. 02

   Direction cosines: $\frac{4}{9}, -\frac{4}{9}, \frac{7}{9}$.