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Three particles are located on the x-y plane as indicated in the diagram. The first particle has charge q = e and is located at

Three particles are located on the x-y plane as indicated in the diagram. The first particle has charge q = e and is located at < -0,0,0 >. The second particle has charge q2 = 3e and is located at < 20,0,0 >. The third particle has charge q3 = 415e and is located at < -d, 2d, 0 > Note that e is the charge of the proton and d is a positive distance. 43 2d d 91 921 X d 2d 6 4 9- zero magnitude 10 - more information needed What is the direction of the electric field at the origin due to q? 3 What is the direction of the electric field at the origin due to 22? What is the direction of the electric field at the origin due to q3? 8 What is the direction of the net electric field at the origin? 8 Determine where a fourth particle with charge 44 = -e should be positioned such that the net electric field at the origin < 0,0,0 > is zero? Please answer as vector formulas using "d". 8 X 8 X 0 )d >

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