An electron enters an electric field with intensity $\vec{E} = 3\hat{i} + 6\hat{j} + 2\hat{k} \text{ V m}^{-1}$ and a magnetic field with induction $\vec{B} = 2\hat{i} + 3\hat{j} \text{ T}$ with a velocity $\vec{v} = 2\hat{i} + 3\hat{j} \text{ m s}^{-1}$. The magnitude of the force acting on the electron is (Given, $e = -1.6 \times 10^{-19} \text{ C}$)

• A
  $2.02 \times 10^{-18} \text{ N}$
• B
  $5.16 \times 10^{-16} \text{ N}$
• C
  $3.72 \times 10^{-17} \text{ N}$
• D
  None of the above