HW#1 - AE 322 Homework #1 Due Monday, February 1, 2010 1....

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AE 322 Homework #1 Due Monday, February 1, 2010 1. How many terms are represented by: a. ij A b. ij ,kl B c. ij,ji C d. ijkl D How many equations are represented by: e. = ij jk kl il AB C D f. 0 = ij,j A g. 1 += ijk ,l ij,kl AB 2. Write out the following using standard notation: a. = ij jk ik C b. = i i,k k A BC c. = ijk ijk 3. Show that a. 3 ij ij δδ = b. 6 ijk kji εε = c. Write the operator 222 2 123 () xxx ∂∂∂ ∇= + +  in indicial notation. 4. Find the rotation matrix [ ] R of direction cosines to transform the matrix
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