An electron is moving with a velocity \((2 \bar{i}+3 \bar{j}) \mathrm{ms}^{-1}\) in an electric field \((3 \bar{i}+6 \bar{j}+2 \bar{k}) \mathrm{Vs}^{-1}\) and a magnetic field of \((2 \bar{j}+3 \bar{k}) \mathrm{T}\). Then the magnitude and direction (with \(x\)-axis) of the Lorentz force acting on the electron is

1. A \(9.6 \times 10^{-19} \mathrm{~N}, \theta=\cos ^{-1}\left(\frac{2}{\sqrt{5}}\right)\)
2. B \(9.6 \times 10^{-19} \mathrm{~N}, \theta=\cos ^{-1}\left(\frac{5}{\sqrt{2}}\right)\)
3. C \(2.15 \times 10^{-18} \mathrm{~N}, \theta=\cos ^{-1}\left(\frac{2}{\sqrt{5}}\right)\)
4. D \(2.15 \times 10^{-18} \mathrm{~N}, \theta=\cos ^{-1}\left(\frac{5}{3}\right)\)