The magnetic force acting on a charged particle of charge $-2\, \mu C$ in a magnetic field of $2\, T$ acting in $y$ direction, when the particle velocity is $(2i + 3 j) \times 10^6\,\, m/s$ is
AIPMT 2009, Medium
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Lorentz force $=q(\bar{v} \times \bar{B})$
${=\left(-2 \times 10^{-6}\right)\left[(2 \hat{i}+3 \hat{j}) \times 10^{6} \times 2 \hat{j}\right]=-8 \hat{k} \,\mathrm{N}} $
${=8\, \mathrm{N} \text { in }-\mathrm{z} \text { direction. }}$
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