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Continuing from part I, we’d like to go further and handle objects of form \(\mathbf{u} \times (\mathbf{v} \times \mathbf{w})\). However this would involve multiplication of two Levi-Cevita symbols which needs to be resolved. It turns out we can do so through calculating determinants of matrices. We would use notation developed in part I. Claim: \[\varepsilon_{ijk}\varepsilon_{lmn} = \det \begin{pmatrix} \delta_{il} & \delta_{im} & \delta_{in} \\ \delta_{jl} & \delta_{jm} & \delta_{jn} \\ \delt...