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