In the deduction of boundary conditions of electric field we take a surface and do calculations mathematically.enter image description here
Why do we take the direction of E$E$ perpendicular and parallel in same direction (meaning the arrow in respective cases as shown in fig is parallel in direction ) across two surface? How can the deduction based on this assertion be used as a general one. (Meaning why not take the antiparallel case also)? What will happen if the direction are arbitrary.? Deriving the Electrostatic boundary conditionsDeriving the Electrostatic boundary conditions This link question's last part is related to mine, i just want to know why this specific orientation is taken as it won't be a general one?