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# Find the total work done by a 15 N force F in the direction of x=(1,2,2), when it moves a particle from O to P(1,-3,4), and then from P to A(7,2,5).The distance is measured in meters.(some saied the answer 90others say 105)p;z can anyone check again

Arun Kumar IIT Delhi
7 years ago
$W=F.\vec {OP}+F.\vec {AP}\\=(15/\sqrt{1+4+4})((1,2,2).(1,-3,4)+(1,2,2).(6,5,1))\\=(15/3)(3+18)=105$

Arun Kumar
IIT Delhi