The electric field of an electromagnetic wave in free space is represented as \( \vec{E} = E_{0} \cos(\omega t - kz) \, \hat{i} \). The corresponding magnetic induction vector will be:
\( \vec{B} = E_{0} \, C \, \cos(\omega t - kz) \, \hat{j} \)
\( \vec{B} = \frac{E_{0}}{C} \cos(\omega t - kz) \, \hat{j} \)
\( \vec{B} = E_{0} \, C \, \cos(\omega t + kz) \, \hat{j} \)
\( \vec{B} = \frac{E_{0}}{C} \cos(\omega t + kz) \, \hat{j} \)