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Unformatted text preview: 3) Apply the gradient operator in spherical coordinates, = e r /r + e (1 /r ) / + e (1 /r sin ) /, (2) to A and obtain the divergence and curl of that vector in spherical coordinates. This is alternative to the way I did it in class. 4) Prove ( A B ) = ( A ) B + A ( B ) + ( B ) A + B ( A ) 5) Prove R V dV ( A ) = R S da ( n A ), where S is the boundary area of volume V and n is the outward normal at surface element da. 1...
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- Spring '10