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Consider these two vector fields, each a candidate to represent a magnetic field in free space.

(A) $\vec{B}(x,y,z)=B_o(3x\hat{x} -4y \hat{y} +z \hat{z})$
(B) $\vec{B}(x,y,z)=B_o(x^2yz\hat{x}+xy^2z\hat{y}-2xyz^2\hat{z})$

Which of these fields could possibly represent a magnetic field?

A

Field A no
Field B no

B

Field A yes
Field B no

C

Field A no
Field B yes

D

Field A yes
Field B yes

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