Coulomb's Law January in 2 D Three point charges are positioned as shown in figure 2 with a 2x10-4 C charge .5 m north of the origin, a -6x10-4 C charge 1 m east of the origin and a 3x10-4 C charge at the origin. 1. What is the magnitude and direction of the force that the 2x10-4 C charge exerts on the 3x10-4 C charge at the origin? 2. What is the magnitude and direction of the force that the -6x10-4 C charge exerts on the 3x10-4 C charge at the origin? 3. What is the magnitude and direction of the total force on the 3x10-4 C charge exerted by the other two charges? Answer this question with an analytical solution and a rough graphical solution. 4. What is the magnitude and direction of the force that the 3x10-4 C charge at the origin exerts on the -6x10-4 C charge? 5. What is the magnitude and direction of the force that the 2x10-4 C charge exerts on the -6x10-4 C charge? 6. What is the magnitude and direction of the total force exerted on the -6x10-4 C charge? Answer this question with an analytical solution and a rough graphical solution.