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A uniform force of \( (3 \hat{\mathbf{i}}+\hat{\mathbf{j}}) \mathrm{N} \) acts on a particle of mass \( 2 \mathrm{~kg} \). Hence, the particle is displaced from position \( (2 \hat{\mathbf{i}}+\hat{\mathbf{k}}) \mathrm{m} \) to position \( (4 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}-\hat{\mathbf{k}}) \mathrm{m} \). The work done by the force on the particle is
(a) \( 9 \mathrm{~J} \)
(b) \( 6 \mathrm{~J} \)
(c) \( 13 \mathrm{~J} \)
(d) \( 15 \mathrm{~J} \)
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