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: ± ² ± a = ± ² ± ² u ( ) = ± ± • u ( ) ³ ± 2 u ± • W T u ( ) = u • ± • W ( ) + W • ± u ( )...
View
Full Document
 Spring '08
 Dutton,J
 Vector Space, Trigraph, Tensor, Kronecker delta

Click to edit the document details