Multiple choice

A plane wave of wavelength $\lambda$ is travelling in a direction making an angle 30° with positive x-axis and 90° with positive y-axis. The $\vec E$ field of the plane wave can be represented as (E0 is constant)

  1. $\vec E$ = $\widehat Y$ E0 ej $\left( \omega t + \dfrac{\pi}{\lambda}x \times \dfrac{\sqrt 3 \pi}{\gamma} z \right)$
  2. $\vec E$ = $\widehat Y$ E0 ej $\left( \omega t - \dfrac{\pi}{\lambda} \times \dfrac{\sqrt 3 \pi}{\gamma} z \right)$
  3. $\vec E$ = $\widehat Y$E0 ej $\left( \omega t + \dfrac{\sqrt 3 \pi}{\gamma} \times \dfrac{\pi}{\lambda} z \right)$
  4. $\vec E$ = $\widehat Y$ E0 ej $\left( \omega t - \dfrac{\pi}{\lambda} x + \dfrac{\sqrt 3 \pi}{\gamma} z \right)$
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A Correct answer
Explanation