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\begin{aligned}B_X &= X_{s2} - X_{s1} = N_1 X_1 - N_2 X_2 \\B_Y &= Y_{s2} - Y_{s1} = N_1 Y_1 - N_2 Y_2 \\B_Z &= Z_{s2} - Z_{s1} = N_1 Z_1 - N_2 Z_2\end{aligned} \begin{aligned}N_1 &= \frac{B_X Z_2 - B_Z X_2}{X_1 Z_2 - X_2 Z_1} \\N_2 &= \frac{B_X Z_1 - B_Z X_1}{X_1 Z_2 - X_2 Z_1}\end{aligned}