11.7 Exercise 15

An electron moving with a velocity $\overset{\rightarrow}{v} = \left(4.0 \hat{i} + 3.0 \hat{j} + 2.0 \hat{k}\right) \times 10^{6} \text{m}/\text{s}$ enters a region where there is a uniform electric field and a uniform magnetic field. The magnetic field is given by $\overset{\rightarrow}{B} = \left(1.0 \hat{i} - 2.0 \hat{j} + 4.0 \hat{k}\right) \times 10^{−2} \text{T} .$ If the electron travels through a region without being deflected, what is the electric field?