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ANSWER  u200bu200bu200bu200bu200bHINT:- In this type of problem, you use vector form of every quantity to know the magnitude as well as direction.  SOLUTIONGiven datas for the given question are as follows: F_(1)=350N=| vec(F)_(1)|{:[F_(1)=350N=| vec(F)_(1)|],[F_(2)=250N=| vec(F)_(2)|],[F_(3)=300N=| vec(F)_(3)|]:}and the co-ordinafes of the points are as follows{:[A-=(x","y","0);,E-=(-3","0","0)],[B-=(0","0","4),;,F-=(2","-3","0)]:}NowSince, it is a direction or say vector based question So we also need to convert every force Value in the vecforial form:. vec(F)_(1)=| vec(F)_(1)|(B hat(E))quad[:} since, F_(1) is directed along BE i.e.from ]=> vec(F)_(1)=70(-3 hat(ı)-4 hat(k))=-210 hat(ı)-280 hat(k){:[" and " vec(F)_(3)=| vec(F_(3))|( vec(BA))=300(( vec(OA)- vec(OB))/(| vec(BA)|)=300((x( hat(ı))+y( hat(ȷ))-4( hat(kappa))))/(sqrt(x^(2)+y^(2)+16)):}],[=> vec(F_(3))=(300(x( hat(ı))+y( hat(ȷ))-4( hat(k))))/(sqrt(x^(2)+y^(2)+16))]:}AgainSince, we know that resultant of forces heading x-8y direction is always in z-direction (or best say z-plane){:[:. vec(F)_(R)= vec(F)_(2)=| vec(F_(2))| hat(K)],[=> vec(F)_(1)+ vec(F)_(2)+ vec(F)_(3)= vec(F)_(R)=| vec(F_(2))| hat(K)]:}on putting the values of rho^(n)(i), ... See the full answer