Given two lines determine whether the lines are parallel, intersecting, or skew. If intersecting, find point of intersection.

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Subject: Calculus 3

Given two lines determine whether the lines are parallel, intersecting, or skew. If intersecting, find point of intersection.

$L1: \frac{1}{2}(x-6) = \frac{1}{3}(y-12) = \frac{1}{7}(z-4)$

$L2: \frac{1}{8}(x-1)=\frac{1}{24}(y+3)=\frac{1}{28}(z-5)$

The answer in the back says they are parallel, however when I tried to solve it on my own I reached the conclusion that they are not parallel. I compared the directional vectors:

$\frac{1/2}{1/8} = \frac{1/3}{1/24} = \frac{1/7}{1/28}$

Simplifies to

$4 = 8 = 4$

Which means they are not parallel? Did I do this correctly or did I make a mistake?