A thin, nonconducting rod of length \(L\) lies along the positive \(x\)-axis with its ends at the origin and at \(x = L\). The rod carries a uniform positive linear charge density \(\lambda\). Point \(P\) is located on the positive \(y\)-axis at \((0, L)\). Which of the following correctly describes the direction of the net electric field \(\vec{E}\) at point \(P\) and compares the magnitudes of its components, \(|E_x|\) and \(|E_y|\)?