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Suppose that the electric field part of an electromagnetic wave in vacuum is E={(3.1 N/C) cos [(1.8 rad/m)y+{5.4`xx10^(6)` rad/s} t]} i.
What is the direction of propagation ?

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From the given question it is clear that direction of motion of e.m. wave is along negative y direction i.e. along -`hatj`

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