Electrons and protons travel from the Sun to the Earth at a typical velocity of 4.00 × 10 ⁵  m/s in the positive x-direction. Thousands of miles from Earth, they interact with Earth's magnetic field of magnitude 3.00 × 10 ^-8 T, in the positive z-direction. Find the (a) magnitude and (b) direction of the magnetic force on a proton. Find the (c) magnitude and (d) direction of the magnetic force on an electron.

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