From the force experiment: when A has charge q and B has charge q', at distance r the force is F. Sphere A is then touched by identical uncharged sphere C (so A gets q/2) and B is touched by identical uncharged sphere D (so B gets q'/2). Then B is brought to distance r/2. The new force F' equals:
In vector form, Coulomb's law for the force on charge q₂ due to charge q₁ is written as F₂₁ = (1/4πε₀)(q₁q₂/r²₂₁) r̂₂₁ where r̂₂₁ is a unit vector from q₁ to q₂. If q₁ and q₂ are both positive, F₂₁ is directed:
A.
Along r̂₂₁ (away from q₁, in the direction from q₁ to q₂) — repulsive force
B.
Perpendicular to the line joining the charges
C.
Along the line joining the charges but could be either direction regardless of sign