The work done W = F.d

\(\displaystyle={\left({210}{i}-{150}{j}\right)}\cdot{\left({15}{i}-{12}{j}\right)}\)

\(\displaystyle={3150}{i}-{1800}{j}\)

Thus, magnitude of the work done \(\displaystyle{W}={\left({{F}_{{x}}^{{2}}}+{{F}_{{y}}^{{2}}}\right)}^{{{\frac{{{1}}}{{{2}}}}}}\)

Or \(\displaystyle{W}={3.63}\cdot{10}^{{3}}\) J

\(\displaystyle={\left({210}{i}-{150}{j}\right)}\cdot{\left({15}{i}-{12}{j}\right)}\)

\(\displaystyle={3150}{i}-{1800}{j}\)

Thus, magnitude of the work done \(\displaystyle{W}={\left({{F}_{{x}}^{{2}}}+{{F}_{{y}}^{{2}}}\right)}^{{{\frac{{{1}}}{{{2}}}}}}\)

Or \(\displaystyle{W}={3.63}\cdot{10}^{{3}}\) J