A perfectly conducting metal plate is placed in x-y plane in a right handed coordinate system. A charge of +32πε_o√2 columbs is placed at coordinate (0, 0, 2). ε_o is the permittivity of free space. Assume î, ĵ, k̂ to be unit vectors along x, y and z axes respectively. At the coordinate (√2,√2,0), the electric field vector E (Newtons/Columb) will be