Let L be the line in R^3 that passes through the point (1,−2,4) and is parallel to v=(3,1,−5). Let P be the plane defined by 4x−3y+2z=15 (a) Find the parametric equations of the line, L. (b) Find the intersection of the line, L with the plane, P. (c) Determine the distance of the point, (1,−2,4), to the plane, P.