A particle of charge travels with velocity in a uniform magnetic field

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Magnetism and Electromagnetism · Magnetism and Electromagnetism

Problem

A particle of charge −q-q travels with velocity v⃗=v0(2i^−j^+k^)\vec v = v_0(2\hat i - \hat j + \hat k) in a uniform magnetic field B⃗=B0(i^+3j^+2k^)\vec B = B_0(\hat i + 3\hat j + 2\hat k). Which one of the following is the unit vector in the direction of the magnetic force on the particle? (a) (1/83)(−5i^−3j^+7k^)(1/\sqrt{83})(-5\hat i-3\hat j+7\hat k) (b) (1/83)(5i^−3j^+7k^)(1/\sqrt{83})(5\hat i-3\hat j+7\hat k) (c) (1/83)(5i^+3j^−7k^)(1/\sqrt{83})(5\hat i+3\hat j-7\hat k) (d) (1/17)(2i^−3j^+2k^)(1/\sqrt{17})(2\hat i-3\hat j+2\hat k)

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