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prove the following relations (i)div ( r grad 1/r 3 ) = 3 /r 4 (ii) curl ( r f( r ) ) =0 (iii)

prove the following relations
(i)div (r grad 1/r3) = 3 /r4
(ii) curl (r f(r) ) =0
(iii) (A . grad) A = 1/2 gradA2 - A X curl A

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