Concept:The net dipole moment of a system of point charges is the vector sum of each charge multiplied by its position vector from the origin, given by P=∑qiri.Explanation:For charge +2q at (0,−3a): position r1=−3aj^, so dipole moment p1=(2q)(−3aj^)=−6qaj^.For charge +3q at (2a,0): position r2=2ai^, so p2=(3q)(2ai^)=6qai^.For charge −4q at (−2a,0): position r3=−2ai^, so p3=(−4q)(−2ai^)=8qai^.Add the three vectors: P=(−6qaj^)+(6qai^)+(8qai^)=14qai^−6qaj^.Factor 2qa: P=2qa(7i^−3j^).
