Homework for Tensor calculus a = a,, +a,, + a,,, b = b, +b,, + b,,,...

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Homework for Tensor calculus a = a,ê, +a,ê, + a,ê,, b = bê, +b,ê, + b,ê,, č = c,ê, +c,ê, + c,ê,, Calculate followings, by using (a) matrix notation and (b) tensor notation, and show the results from both (a) and (b) are identical 1. ā-b (dot product) 2. āxb (cross product) 3. ā®b (tensor product) 4. ā (bxč) 5. аx6 х) Homework for Tensor calculus a = a,ê, +a,ê, + a,ê,, b = bê, +b,ê, + b,ê,, č = c,ê, +c,ê, + c,ê,, Calculate followings, by using (a) matrix notation and (b) tensor notation, and show the results from both (a) and (b) are identical 1. ā-b (dot product) 2. āxb (cross product) 3. ā®b (tensor product) 4. ā (bxč) 5. аx6 х)