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A proton moves perpendicular to a uniform magnetic field at a speed of 1.20 10⁷ m/s and experiences an acceleration of 1.90 10¹³ m/s² in the positive x direction when its velocity is in the positive z direction. Determine the magnitude and direction of the field.

A proton moves perpendicular to a uniform magnetic field \(\vec{B}\) at a speed of \(1.20 \times 10^7\) m/s and experiences an acceleration of \(1.90 \times 10^{13}\) m/s\(^2\) in the positive x direction when its velocity is in the positive z direction. Determine the magnitude and direction of the field.

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