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The magnetic force \(\Vect{F}\) exerted on a particle with electric charge \(q\) moving with velocity \(\Vect{v}\) through a magnetic field \(\Vect{B}\) is given by the Lorentz force formula:$$ \Vect{F} = q(\Vect{v} \times \Vect{B}) $$A particle with charge \(q = 2\) C enters a uniform magnetic field \(\Vect{B} = \begin{pmatrix} 0 \\ 5 \\ 0 \end{pmatrix}\) T with a velocity of \(\Vect{v} = \begin{pmatrix} 3 \\ 0 \\ 0 \end{pmatrix}\) m/s, as shown below.
Calculate the magnetic force \(\Vect{F}\) acting on the particle. The resulting force will be in Newtons (N).
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