Polarization of EM Wave means Direction of Its electric Field
Electric field vector is along k^
So, unit electric filed vector, E=k^ (Given)
Direction of wave,c^=2i^+j^ (Given)
B^ denotes unit magnetic field vector.
B^=C^×E^
B^=2i^+j^×k^=2i^−j^
General Form is B=(B0B^)cos(ωt−c^k)
where B0 is Magnitude of Magnetic Field
So,B=B02i^−j^cos(ωt−k2i^+j^)