C) Express v and B in component form, using a Cartesian coordinate system of your choice. Be sure to define your choice of Cartesian coordinate system. Now determine A, where A = v B, using the component form expressions you just found. Draw A based on the component form expression you just determined. Verify that your result is consistent with your answer from the graphical method of cross products. D) Rewrite the force equation but replace vx B with A. Your goal is to solve for the scalar variable q. If you didn't know anything about vector math, you may instinctively try to divide by or A. But you know this is wrong! What vector math operation should you perform in order to avoid dividing by a vector? Perform this vector math operation and determine q. Use the values in the diagram given above and be very careful to identify the appropriate angles, as needed. When charged particle moves in the presence of an electric field or a magnetic field, it will feel a force due to these fields. The particle experiences a net force due to these fields according to the Lorentz Force equation: F = q+q(v B), where F is the force exerted on the particle, q is the charge of the particle, is the electric field, is the velocity of the particle, and B is the magnetic field. The magnitude and directions of these vectors are shown below. 15 |E|= 3.1 ||= 500 |B| = 0.00736 |F|= 5.94 N =65.8 =55.8