Three girls skating on a circular ice ground of radius \(200\) m start from a point \(P\) on the edge of the ground and reach a point \(Q\) diametrically opposite to \(P\) following different paths as shown in the figure. The correct relationship among the magnitude of the displacement vector for three girls will be:
1. \(A > B > C\)
2. \(C > A > B\)
3. \(B > A > C\)
4. \(A = B = C\)
1. | \(\sqrt2,~45^\circ\) with the x-axis. |
2. | \(\sqrt2,~-45^\circ\) with the x-axis. |
3. | \(\dfrac1{\sqrt2},~60^\circ\) with the x-axis. |
4. | \(\dfrac1{\sqrt2},~-60^\circ\) with the x-axis. |