The third rank tensor S( , , ) and vectors A and B have as their only nonzero components S 123 S 231 S 312 1, A 1 3, B 1 4, B 2 5 What are the components of the vector C S(A, B, ), the vector D S(A, , B), and the tensor W A B ...

To find the components of the vector C SA B we use the formula for tensor contraction Ci Sijk Aj Bk ...

The third-rank tensor S(_ , _ , ___) and vectors A and B have as their only

Question:

The third-rank tensor S(___ , ___ , ___) and vectors A and B have as their only nonzero components S₁₂₃ = S₂₃₁ = S₃₁₂ = +1, A₁ = 3, B₁ = 4, B₂ = 5. What are the components of the vector C = S(A, B, ___), the vector D= S(A, ___ , B), and the tensor W = A ⊗ B?

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