A homogenous electric field is given by the E-field vector E = (3,2,5) N/C . [If you prefer unit vector notation then you can write this E-field as E = (3x+2y+5z) ].
(a) Determine the electric flux through the plane surface, which is represented by the normal vector (or area-vector) A=(+1,-2,+2)m^2 . (Remember, a normal vector is perpendicular to a given surface and its magnitude is a measure for the area of the plane surface.)
(b) What is the area of the plane surface of part (a)?
(c) What is the angle between A and E ?