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(B) The direction of propagation of an electromagnetic wave is given by the direction of the Poynting vector,which is $\vec{S} \propto \vec{E} 	imes

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$+z$ direction

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(B) The direction of propagation of an electromagnetic wave is given by the direction of the Poynting vector,which is $\vec{S} \propto \vec{E} 	imes \vec{B}$.Given that the velocity $\vec{v}$ is along the $+x$ axis $(\hat{i})$ and the electric field $\vec{E}$ is along the $+y$ axis $(\hat{j})$.We know that $\vec{v} \parallel (\vec{E} 	imes \vec{B})$.Substituting the known directions: $\hat{i} = \hat{j} 	imes \vec{B}_{dir}$.Using the properties of unit vectors in a Cartesian coordinate system,we know that $\hat{j} 	imes \hat{k} = \hat{i}$.Therefore,the direction of the magnetic field $\vec{B}$ must be along the $+z$ axis $(\hat{k})$.Thus,the oscillating magnetic field is along the $+z$ direction.

An electromagnetic $(EM)$ wave is propagating in a medium with a velocity $\vec{v} = v\hat{i}$. The instantaneous oscillating electric field of this $EM$ wave is along the $+y$ axis. Then the direction of the oscillating magnetic field of the $EM$ wave will be along:

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