vector_diff_int_beta_for_everyone-shinbbone

vector_diff_int_beta_for_everyone-shinbbone - r = 3 ( r f (...

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A × ( B × C ) = B ( A · C ) C ( A · B ) ( A × B ) × C = B ( A · C ) A ( B · C ) ( A B ) · ( A + B ) = A 2 B 2 ( A B ) × ( A + B ) = 2 A × B ( A × B ) · ( C × D ) = ( A · C )( B · D ) ( A · D )( B · C ) ( A × B ) × ( C × D ) = ( A · B × D ) C ( A · B × C ) D ( A × B ) · ( A × B ) = ( A × B ) 2 = A 2 B 2 ( A · B ) 2 ( A × B ) · ( B × C ) × ( C × D ) = ( A · B × C ) 2 A × ( B × C ) + B × ( C × A ) + C × ( A × B ) = 0 A · ( B × C ) = B · ( A × C ) = C · ( A × B ) = A × B · C A · ( A × B ) = 0 B · ( A × B ) = 0 ( fg ) = g f + f g (= ( f ) g + f ( g ) ) ∇ · ( f A ) = A · ∇ f + f ∇ · A (= ( f ) · A + f ( ∇ · A ) ) ∇ × ( f A ) = f ∇ × A A × ∇ f (= ( f ) × A + f ( ∇ × A )) ∇ × ( f ) = 0 ∇ · ( ∇ × A ) = 0 ∇ · ( A × B ) = B · ( ∇ × A ) A · ( ∇ × B ) ∇ × ( A × B ) = ( B · ∇ ) A ( A · ∇ ) B B ( ∇ · A ) + A ( ∇ · B ) ( A · B ) = B × ( ∇ × A ) + A × ( ∇ × B ) + ( B · ∇ ) A + ( A · ∇ ) B = ( B × ∇ ) × A + ( A × ∇ ) × B + B ( ∇ · A ) + A ( ∇ · B ) A × ( ∇ × B ) = ( A · B ) ( A · ∇ ) B ∇ × ( ∇ × A ) = ( ∇ · A ) ( ∇ · ∇ ) A = ( ∇ · A ) − ∇ 2 A ( A · ∇ ) A = 1 2 ( A 2 ) A × ( ∇ × A ) ( A · ∇ ) r = A , r is a position vector. ( C · r ) = C , C is a constant.
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Unformatted text preview: r = 3 ( r f ( r )) = 3 f ( r ) + r df dr ( r r n 1 ) = ( rr n ) = ( n + 2) r n 1 ( r r 2 ) = 0 , r = 0 r = 0 ( r f ( r )) = 0 ( r r 2 ) = 4 ( r ) ( 2 ) = 4 ( ) , = r r ( 1 r ) = r r 2 ( 1 ) = 2 2 ( 1 r ) = 4 ( r ) 2 ( 1 ) = 4 ( ) [http://blog.naver.com/shinbbone]...
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