Ex=0 ; Ez=0

Ey = 10   sin(3.14x - 6.08e8 t)

what is the time-averaged Poynting vector (magnitude and direction) for the position x=y=z=−3 ?

To calculate the time-averaged Poynting vector, we need to find the average value of the vector quantity S, which represents the power flow per unit area in electromagnetic fields. The Poynting vector S is given by:

S = E x B

where E is the electric field vector and B is the magnetic field vector.

In the given problem, only the electric field component Ey is provided. To calculate the Poynting vector, we need the magnetic field B. However, without information about B, we cannot directly calculate the time-averaged Poynting vector.