AE 322 Homework #1 Due Monday, February 1, 2010 1.How many terms are represented by: a. ijAb. ij ,klBc. ij,jiCd. ijklDHow many equations are represented by: e. =ijjkklilAB CDf. 0=ij,jAg. 1+=ijk ,lij,klAB2.Write out the following using standard notation: a. =ijjkikCb. =ii,kkA BCc. =ijkijk3.Show that a. 3ijijδδ =b. 6ijk kjiεε =−c. Write the operator 2222123()xxx∂∂∂∇=++in indicial notation. 4.Find the rotation matrix [ ]Rof direction cosines to transform the matrix
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