Solved

Verify That the Vector Field F = I

Question 20

Multiple Choice

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


A) (xyz + z) i + 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 y k
B) ( 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 y + z) i + 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 y k
C) (xyz - z) i + 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 y k
D) ( 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 z - z) i + 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 y k
E) xyz i + 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 y k

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