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Unformatted text preview: x 2 axis. What is the magnitude of r A in each case? 6. The dyadic product between two vectors a and b is defined as: a b ( ) ij = a i b j . Using indicial notation prove the following (where W is a second order tensor): a b ( ) W = a W T b ( ) 7. Quantities a , u and W are a scalar, vector and two tensor field respectively (i.e. they are functions of position x 1 , x 2 , x 3 ). Prove the following identities using indicial notation: a = u ( ) = u ( ) 2 u W T u ( ) = u W ( ) + W u ( )...
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This note was uploaded on 03/07/2011 for the course AE 311 taught by Professor Dutton,j during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Dutton,J

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