In an electromagnetic wave, at an instant and at a particular position, the electric field is along the negative z-axis and magnetic field is along the positive x-axis. Then the direction of propagation of electromagnetic wave is:

In an electromagnetic wave, the direction of propagation is given by $$\vec{E} \times \vec{B}$$.

Given: $$\vec{E}$$ is along negative z-axis ($$-\hat{k}$$) and $$\vec{B}$$ is along positive x-axis ($$+\hat{i}$$).

$$\vec{E} \times \vec{B} = (-\hat{k}) \times (\hat{i}) = -(\hat{k} \times \hat{i}) = -\hat{j}$$

The direction of propagation is along the negative y-axis.

This matches option 4.

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