Given F= 2i^ + 4 j ^, ri = 2 i^ + 3 j^ and rf = 3 i^ + 4j^, Work done is
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Let us first try to Understand when work is said to be done.
By defination,"Work is said to be done if a body has some net displacement in the direction of applied force."
so, work done=component of force in the direction of displacement X displacement.
Therefore,W=(Fcosϴ X d)=F.d
By dot product rule,i.i=j.j=k.k=1 and i.j=j.k=k.i=0
F.d = (2)(1) +(3)(2) + (1)(-4)
=2 +6 -4 =4
Therefore,required work done is 4
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