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 $\overline{ F } \times 10^{-9} N$. The vector $\overrightarrow{ F }$ is :
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 $\overline{ F } \times 10^{-9} N$. The vector $\overrightarrow{ F }$ is :
- [JEE MAIN 2020]
- 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
$-3.0 \hat{ i }+3.2 \hat{ j }-0.9 \hat{ k }$
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