$A$ charged particle carrying charge $1\,\mu C$ is moving with velocity $(2 \hat{i} + 3 \hat{j} + 4 \hat{k})\, ms^{-1}$. If an external magnetic field of $(5 \hat{i} + 3 \hat{j} - 6 \hat{k}) \times 10^{-3}\, T$ exists in the region where the particle is moving,then the force on the particle is $\overrightarrow{F} \times 10^{-9}\, N$. The vector $\overrightarrow{F}$ is:

• A
  $-0.30 \hat{i} + 0.32 \hat{j} - 0.09 \hat{k}$
• B
  $-300 \hat{i} + 320 \hat{j} - 90 \hat{k}$
• C
  $-30 \hat{i} + 32 \hat{j} - 9 \hat{k}$
• D
  $-3.0 \hat{i} + 3.2 \hat{j} - 0.9 \hat{k}$