Consider the specific example of a positive charge q moving in the +x direction with the local magnetic field in the +y direction. In which direction is the magnetic force acting on the particle? Express your answer using unit vectors (e. g., i^- j^). (Recall that i^ is written \hat i (or alternatively i_unit can be used.))

Therefore the direction is in the positive direction of the z axes.

Explanation:

Let's recall that the magnetic force is given by:

The unit vector of V is and the unit vector of B is

So, the direction of the force will be defined as the cross product of i and j, and using the right hand rule:

Therefore the direction of the magnetic force is in the positive direction of the z axes.

I hope it helps you!

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