For an incompressible flow, the x and y components of the velocity vector are \( V_x = 2(x+y) \), \( V_y = 3(y+z) \), where x, y, and z are in meters and velocities are in m/s. Then the z component of the velocity vector (V\(_z\)) for the boundary condition \( V_z = 0 \) at \( z = 0 \) is