A charge particle having charge 2 coulom...

A charge particle having charge 2 coulomb is thrown with velocity `2hat(i) + 3 hat(j)` inside a region having `vec(E) = 2 hat(j)` and magnetic field `5 hat(k)`. Find the initial Lorentz force acting on the particle

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Lorentz force `vecF=q(vecE+vec+vecB)`
`vecF=2[2hatj+(2hati+3hatj)xx5hatj]`
`=2[2hatj+10(-hatj)+15hati]`
`=30hat-16hatj`

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