A particle with a charge of \( -1.24 \times 10^{8} \mathrm{C} \) is moving with instantaneous velocity \( \vec{v}=\left(14.19 \times 10^{4}\right) \hat{i}+\left(-3.85 \times 10^{4}\right) \hat{j} \frac{\mathrm{m}}{\mathrm{s}} \) what is the force exerted on this particle by a magnetic field \( \vec{B}=(1.40) \hat{i} T \)

A \( \left ( - 6.884 × 10^{- 4} \right ) \vec{K} N \)

B \( \left ( - 6.684 × 10 - 4 \right ) \vec{k} N \)

C \( \left ( - 6.84 × 10^{- 4} \right ) \vec{k} N \)