At every instant, the ratio of the magnitude of the electric field to the magnitude of the magnetic field in an electromagnetic wave equals the speed of light.

Therefore, $\frac{E}{B}=c$

$\Rightarrow \frac{E}{B}=3\times {10}^8$

$\Rightarrow B=\frac{E}{3\times {10}^8}=\frac{9.6}{3\times {10}^8}$

$\Rightarrow B=3.2\times {10}^{-8} \mathrm{T}$

Now, direction of magnetic field can be calculated as

$\hat{\mathrm{B}}=\hat{\mathrm{v}}\times \hat{\mathrm{E}}$

$=\hat{\mathrm{i}}\times \hat{\mathrm{j}}=\hat{\mathrm{k}}$

So, $\overrightarrow{\mathrm{B}}=3.2\times {10}^{-8}\hat{\mathrm{k}}\mathrm{T}$