Condition for Two Lines to Be Parallel
For direction ratios:
$$a_1:b_1:c_1$$
and:
$$a_2:b_2:c_2$$
the lines are parallel if:
$$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$$
Usage
- Used to identify parallel lines before applying distance formulas.