Let x, y and z be three vectors each of magnitude √2 and the angle between each pair of them is π/3. If a be a non-zero vector perpendicular to x and (y × z) and b is another non-zero vector perpendicular to y and (z × x), then
(a) b = (b.z)(z – x)
(b) a = (a.y)(y – z)
(c) (a.b) = - (a.y)(b.z)
(d) a = (a.y)(z – y)