A wire carrying a current $I$ along the positive $x$-axis has length $L$ It is kept in a magnetic field $\overrightarrow{ B }=(2 \hat{ i }+3 \hat{ j }-4 \hat{ k }) T$. The magnitude of the magnetic force acting on the wire is $..........IL$
NEET 2023, Medium
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$\overrightarrow{ F } = I (\vec{\ell} \times \overrightarrow{ B })$
$= I [( L \hat{ i }) \times(2 \hat{ i }+3 \hat{ j }-4 \hat{ k })]$
$= I (4 L \hat{ j }+3 L \hat{ k })$
$|\overrightarrow{ F }| =5\,IL$
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