To convert (7.1.45) into an equation in terms of v we can compute the line integral of \(\overrightarrow{\mathrm{E}}_{\mathrm{T}}\) from a to b: the first step is to use the identity \(\overrightarrow...To convert (7.1.45) into an equation in terms of v we can compute the line integral of \(\overrightarrow{\mathrm{E}}_{\mathrm{T}}\) from a to b: the first step is to use the identity \(\overrightarrow{\mathrm{A}} \times(\overrightarrow{\mathrm{B}} \times \overrightarrow{\mathrm{C}})=\overrightarrow{\mathrm{B}}(\overrightarrow{\mathrm{A}} \bullet \overrightarrow{\mathrm{C}})-\overrightarrow{\mathrm{C}}(\overrightarrow{\mathrm{A}} \bullet \overrightarrow{\mathrm{B}})\) to show \(\left(\hat{z} \ti…
