A charged particle carrying charge is moving with velocity

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

Problem

A charged particle carrying charge 1μC1 \mu\text{C} is moving with velocity (2i^+3j^+4k^) ms−1(2\hat{i} + 3\hat{j} + 4\hat{k}) \text{ ms}^{-1} . If an external magnetic field of (5i^+3j^−6k^)×10−3 T(5\hat{i} + 3\hat{j} - 6\hat{k}) \times 10^{-3} \text{ T} exists in the region where the particle is moving then the force on the particle is F⃗×10−9 N\vec{F} \times 10^{-9} \text{ N} . The vector F⃗\vec{F} is : (1) −0.30i^+0.32j^−0.09k^-0.30\hat{i} + 0.32\hat{j} - 0.09\hat{k} (2) −30i^+32j^−9k^-30\hat{i} + 32\hat{j} - 9\hat{k} (3) −300i^+320j^−90k^-300\hat{i} + 320\hat{j} - 90\hat{k} (4) −3.0i^+3.2j^−0.9k^-3.0\hat{i} + 3.2\hat{j} - 0.9\hat{k}

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