The electric field of a plane electromagnetic wave is given by E=E₀/√2​ ​​i cos(kz−ωt). At t=0, an electron is at the point xyz. If its instantaneous velocity at t=0 is v=v₀j​, find the values of x, y, and z.
a) x=0, y=0, z=0
b) x=0, y=v₀/ω​​, z=0
c) x=v₀/ω​​, y=0, z=0
d) x=0, y=0, z=v₀/ω​​