12. This exercise explores key relationships between a pair of planes. Consider the following two planes: one with scalar equation 4x - 5y + z = -2, and the other which passes through the points (1, 1, 1), (0, 1, -1), and (4, 2, -1). a. Find a vector normal to the first plane. b. Find a scalar equation for the second plane. c. Find the angle between the planes, where the angle between them is defined by the angle between their respective normal vectors. d. Find a point that lies on both planes. e. Since these two planes do not have parallel normal vectors, the planes must intersect, and thus must intersect in a line. Observe that the line of intersection lies in both planes, and thus the direction vector of the line must be perpendicular to each of the respective normal vectors of the two planes. Find a direction vector for the line of intersection for the two planes. f. Determine parametric equations for the line of intersection of the two planes