An electron moves through a uniform magnetic field given by \( \mathbf{B}=B_{x} \hat{\mathbf{i}}...

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An electron moves through a uniform magnetic field given by \( \mathbf{B}=B_{x} \hat{\mathbf{i}}+\left(3 B_{x}\right) \hat{\mathbf{j}} \). At a particular instant, the electron has the velocity \( \mathbf{v}=(2.0 \hat{\mathbf{i}}+4.0 \hat{\mathbf{j}}) \mathrm{m} / \mathrm{s} \) and the magnetic force acting on it is \( \left(6.4 \times 10^{-19} \mathrm{~N}\right) \hat{\mathbf{k}} \). Find \( B_{x} \)
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