Find the vector and Cartesian equations of the plane which passes through the point (5, 2, -4) and perpendicular to the line with direction ratios 2, 3, -1.
a) Vector equation: r = [5, 2, -4] + t[2, 3, -1], Cartesian equation: 2x - 3y + z = -21
b) Vector equation: r = [5, 2, -4] + t[-2, -3, 1], Cartesian equation: -2x - 3y + z = 7
c) Vector equation: r = [5, 2, -4] + t[2, 3, -1], Cartesian equation: 2x + 3y - z = 21
d) Vector equation: r = [5, 2, -4] + t[-2, -3, 1], Cartesian equation: -2x + 3y - z = -7
