Two electromagnetic waves are moving in ...

Two electromagnetic waves are moving in free space whose electric field vectors are given by `vecE_1 =vecE_0 hatjcos(kx -omegat) & vecE_2 = vecE_0 hatk cos(ky -omegat)`. A charge q is moving with velocity `vecv = 0.8 c hatj`. Find the net Lorentz force on this charge at `t = 0` and when it is at origin

`E_(0)q(0.4hati-3hatj+0.8hatk)`

`E_(0)q(0.8hati-hatj + 0.4hatk)`

`E_(0)q(-0.8hati+hatj+hatk)`

`E_(0)q(0.8hati+hatj+0.2hatk)`

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