Could you please answer this question in full detail with all the directions explicit and explanations. Every time I give this question a try I get confused when it comes to directions since these are polar coordinates (for Edipole). If you could, do not use magnitudes to solve the question so I can understand why the torque is in the direction calculated.

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Solutionelectric field due to dipole p_(1) at location of -q_(2)$+q_(2) are vec(E)_(P_(1)) and quad vec(E)_(P_(+1))quad vec(E)_(P_(-1))=(P_(1))/(4piepsi_(0)(r-a)^(3))(- hat(y))de Zorque on P_(2) due to P_(1)Corque{:[{:[ vec(z)_(p_(2)p_(1))= vec(r)xx vec(F)],[ vec(z)_(p_(2)p_(1))=(q_(2)E_(p_(1))xx a+q_(2)E_(p_(+1))xx a)(- hat(z))]:}],[ vec(z)_(p_(1)//p_(1))=q_(2)a(E_(p_(1))+E_(p_(11)))(- hat(z))]:}tan alpha=(1)/(2)tan thetavec(Z)_(p_(1//1))=q_(1)2aE cos(alpha+theta-180^(@))(+ hat(z)){:[ vec(z)=P_(1)E cos(alpha+theta-180^(@))(+ hat(r))],[ vec(E)=(P_(2))/(4epsi^(epsi)(r^(2)+a^(2))^(3//2))(sqrt(3cos^(2)theta+1))],[cos(10-theta)=theta=((r)/(sqrt(r^(2) ... See the full answer