Sij and Tij (a) What property must S ij have if ijk S ij = 0?

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Sij and Tij
(a) What property must Sij have if εijk Sij = 0?

(b) Let b and y be vectors. The components of the latter are defined by y= bkTki where Tij = −Tji is an anti-symmetric object. Find a vector ω such that y = b × ω. Why does it makes sense that T and ω
could have the same information content?

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