(a) Find a vector perpendicular to the plane through the points A(1, 0, 0), B(2, 0, 1), and C(1, 4, 3).
(b) Find the area of triangle ABC.
a) <-4, 1, 4>, 8√2
b) <4, 1, -4>, 4√2
c) <4, -1, 4>, 8√2
d) <-4, -1, -4>, 4√2