Lorentz Force on an air plane due to earth magnetic field

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Due to friction with the air, an airplane has acquired a net charge of 1.70 x 10^-5 C. The plane moves with a speed of 2.80 x 10^2 m/s at an angle with respect to the earth's magnetic field, the magnitude of which is 5.00 x 10^-5 T. The magnetic force on the airplane has a magnitude of 2.30 x 10^-7 N. What is the angle?

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I have used the expression for Lorentz Force to find the angle of the magnetic force exerted on the plane due to the earth's magnetic filed.

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