\( \frac{E}{B}=3 \times 10^8\)

\(B  =\frac{E}{3 \times 10^8}=\frac{9.6}{3 \times 10^8} \)

\(B  =3.2 \times 10^{-8} \mathrm{~T} \)

\(\hat{B}  =\hat{v} \times \hat{E} \)

\( =\hat{i} \times \hat{j}=\hat{k}\)

So,

\(\overrightarrow{\mathrm{B}}=3.2 \times 10^{-8} \hat{\mathrm{k}} \mathrm{T}\)