A cyclist travels at a steady 16 km h^–1 on the four legs of his journey. From his origin, O, he travels for one hour in a NE direction to the point A; he then travels due E for half an hour to point B. He then cycles in a NW direction until he reaches the point C, which is due N of his starting point. He returns due S to the starting point. Indicate the path of the cyclist using vectors and calculate the modulus of the vectors along BC and CO.