E and B Fields (Part 3)

At time t = 0 t = 0 , a particle of mass m = 1 m = 1 and charge q = + 1 q = +1 is at rest at the origin in the x y z xyz coordinate system. There are uniform electric and magnetic fields ( E (\vec{E} and B ) \vec{B}) throughout all of space.

E = ( E x , E y , E z ) = ( 1 , 2 , 3 ) B = ( B x , B y , B z ) = ( 2 , 3 , 1 ) \vec{E} = (E_x, E_y, E_z) = (1,2,3) \\ \vec{B} = (B_x, B_y, B_z) = (2,3,1)

If the spatial coordinates of the particle at time t = 1 t = 1 are ( x f , y f , z f ) (x_f, y_f, z_f) , enter your answer as x f + y f + z f x_f + y_f + z_f


The answer is 2.278.

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