In a plane electromagnetic wave,the directions of the electric field and magnetic field are represented by $\hat{k}$ and $2\hat{i}-2\hat{j}$,respectively. What is the unit vector along the direction of propagation of the wave?

  • A
    $\frac{1}{\sqrt{2}}(\hat{i}+\hat{j})$
  • B
    $\frac{1}{\sqrt{5}}(\hat{i}+2\hat{j})$
  • C
    $\frac{1}{\sqrt{5}}(2\hat{i}+\hat{j})$
  • D
    $\frac{1}{\sqrt{2}}(\hat{j}+\hat{k})$

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