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A point charge of -9.00x10-9 C is located at the point (x,y) = (0,3) meters on...

A point charge of -9.00x10-9 C is located at the point (x,y) = (0,3) meters on the y-axis, while a second point charge of +6.00x10-9 C is located at the point (x,y) = (4,0) meters on the x-axis.

(a) Calculate the total electric field (magnitude and direction) that these point charges generate at the origin of the xy-coordinate system.

(b) A third point charge of -2.00x10-9 C is now placed at the origin of the xy-coordinate system while keeping the first two point charges fixed at their original positions. Calculate the net electric force (magnitude and direction) exerted by the two point charges on the third charge.

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