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Find (A) the Curl and (B) the Divergence of the Vector

Question 84

Essay

Find (a) the curl and (b) the divergence of the vector field F(x,y,z)=(x+3y−5z)i+(z−3y)j+(5x+6y−z)k\mathbf { F } ( x , y , z ) = ( x + 3 y - 5 z ) \mathbf { i } + ( z - 3 y ) \mathbf { j } + ( 5 x + 6 y - z ) \mathbf { k } .

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