Find the parametric equations of the plane that contains the following two parallel
lines:
$L_1: (x, y, z) = (2, 4, 1) + t(3, -1, 1)$ and
$L_2: (x, y, z) = (1, 4, 4) + t(-6, 2, -2)$
Q2: (T=3, C=1)
Determine the Cartesian equation of the plane that
a. contains the point $P(-2, 6, 1)$ and has normal vector $(2, -4, 5)$
b. contains the point $P(-2, 0, 6)$ and the line $\frac{x - 4}{3} = \frac{y + 2}{-5} = \frac{z - 1}{2}$