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A particle has a charge of 4.0 x 10^-9 C. When it moves with a velocity v1 = 3.0 x 10⁴ m/s at 45 degrees above the y-axis in the yz-plane, a uniform magnetic field exerts a force F1 along the -x-axis. When the particle moves with a velocity v2 = 2.0 x 10⁴ m/s along the x-axis, there is a force F2 of 4.0 x 10^-5N exerted on it along the y-axis. Calculate the magnitude and direction of the magnetic field.

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