Documento sin título.pdf
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78. ∇ X (r 2 r) = 0 r = xi + yj + zk r = |r| ∇ =(∂ i,∂ j,∂ k) r 2 =x 2 +y 2 +z 2 ( ESCALAR) ∂x ∂y ∂z ∇ X (r 2 r) = r 2 (∇ Xr)+ ∇r 2 Xr ∇ Xr= ∇ Xr=(∂ z∂ y)i ( ∂ z∂ x)j + ( ∂ y∂ x ) = ( 0,0,0 ) ∂y ∂z ∂x ∂z ∂x ∂y ∇ X (r 2 r) = 0 + 0 = 0 79. (a) ∇ X (UA) = (∇U) X A + U (∇ XA)
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Transcript of Documento sin título.pdf
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78. ∇ X (r2r) = 0 r = xi + yj + zk r = |r|
∇ = ( ∂ i , ∂ j , ∂ k ) r2 = x2 + y2 + z2 ( ESCALAR) ∂x ∂y ∂z
∇ X (r2r) = r2 (∇ X r ) + ∇r2 X r
∇ X r =
∇ X r = ( ∂ z ∂ y)i ( ∂ z ∂ x)j + ( ∂ y ∂ x ) = ( 0,0,0 ) ∂y ∂z ∂x ∂z ∂x ∂y
∇ X (r2r) = 0 + 0 = 0
79. (a) ∇ X (UA) = (∇U) X A + U (∇ X A )