Net Electric field due to 3 charges

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GayYoda
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Homework Statement


There is a 3nC charge at (-3,0), -6nC at (0,2) and 5nC at (1,0). What is the electric field at the origin (0,0)?

Homework Equations


##E = \frac{Q}{4 \pi \epsilon_0 r^2}##

The Attempt at a Solution


i think its ##(\frac{1}{4 \pi \epsilon_0})(-\frac{14}{3} i - \frac{3}{2} j)## as the charges on the x-axis are both +ve so they will repel each other?
 
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Please show how you arrived at your solution. I suspect you need a numerical answer with proper units.

It is true that the field contribution at the origin from each positive charge points in a different direction.