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Homework for Tensor calculus a = a,, +a,, + a,,, b = b, +b,, + b,,, = c,, +c,, + c,,, Calculate followings, by

Homework for Tensor calculus a = a,, +a,, + a,,, b = b, +b,, + b,,, = c,, +c,, + c,,, Calculate followings, by using (a) matrix notation and (b) tensor notation, and show the results from both (a) and (b) are identical 1. -b (dot product) 2. xb (cross product) 3. b (tensor product) 4. (bx) 5. x6 )

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