Given a + b + c + d = 0, which of the following statements are correct:
a) a, b, c, and d must each be a null vector.
b) The magnitude of (a + c) equals the magnitude of (b+ d).
c) The magnitude of a can never be greater than the sum of the magnitudes of b, c, and d.
d) b + c must lie in the plane of a and d if a and d are not collinear, and in the line of a and d, if they are collinear?