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In a plane electromagnetic wave, the directions of electric field and magnetic field are represented by \(\hat{k}\) and …

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In a plane electromagnetic wave, the directions of 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

\(\frac{1}{\sqrt{5}}(\hat{i}+2\hat{j})\)

b

\(\frac{1}{\sqrt{2}}(\hat{i}+\hat{k})\)

c

\(\frac{1}{\sqrt{2}}(\hat{i}+\hat{j})\)

d

\(\frac{1}{\sqrt{5}}(2\hat{i}+\hat{j})\)

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