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A particle has shifted along some trajec...

A particle has shifted along some trajectory in the plane `xy` from point 1 whose radius vector `r_1=i+2j` to point 2 with the radius vector `r_2=2i-3j`. During that time the particle experienced the action of certain forces, one of which being `F=3i+4j`. Find the work performed by the force F. (Here `r_1`, `r_2`, and F are given in SI units).

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Verified by Experts

As `vecF` is constant so the sought work done
`A=vecF*vecr=vecF*(vecr_2-vecr_1)`
or, `A=(3veci+4vecj)*[(2veci-3vecj)-(veci+2vecj)]=(3veci+4vecj)*(veci-5vecj)=17J`
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