Answer
Parallel
Work Step by Step
The coefficients of the parameter gives the direction of a line in parametric equation.
Directional vector for line 1 is: $\lt-12,9,-3\gt $ and for line 2 is: $\lt8,-6,2\gt$.
Directional vector for line 1 is: $\lt-12,9,-3\gt$ can be re-written as $-\frac{3}{2}\lt8,-6,2\gt$
Both the lines are the multiples of each other so the lines are parallel.
Thus, the lines are in parallel.
