$A$ plane electromagnetic wave propagating in the direction of the unit vector $\hat{n}$ with a speed $c$ is described by electric and magnetic field vectors $E$ and $B$,respectively. Which of the following relations (in $SI$ units) between $E$ and $B$ can be ruled out on dimensional grounds alone?
- A$E = \frac{\hat{n} \times B}{c}$
- B$E = -c(\hat{n} \times B)$
- C$B = \frac{\hat{n} \times E}{c}$
- D$\hat{n} \times E \times B = 0$
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