Verify that the vector field F = i + (1 - xy) j - xz k is solenoidal, and find a vector potential G for it having the form G(x, y, z) = (x, y, z) i + y k.
A) (xyz + z) i + y k
B) ( y + z) i + y k
C) (xyz - z) i + y k
D) ( z - z) i + y k
E) xyz i + y k

Question

Verify that the vector field F =  i + (1 - xy) j - xz k is solenoidal, and find a vector potential G for it having the form G(x, y, z) =  (x, y, z) i +  y k.
A) (xyz + z) i + y k 
B) ( y + z) i + y k 
C) (xyz - z) i + y k 
D) ( z - z) i + y k 
E) xyz i + y k

Quizplus · Accepted Answer

The Answer of Verify that the vector field F =  i + (1 - xy) j - xz k is solenoidal, and find a vector potential G for it having the form G(x, y, z) =  (x, y, z) i +  y k.
A) (xyz + z) i + y k 
B) ( y + z) i + y k 
C) (xyz - z) i + y k 
D) ( z - z) i + y k 
E) xyz i + y k

Verify That the Vector Field F = I