A cube of side 'a' has point charges +Q located at each of its vertices except at the origin where the charge is - Q. The electric field at the center of cube is:


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If only +Q charges are placed at the corners of cube of side a then electric field at the center of the cube will be zero.
But in the given condition one (–Q) is placed at one corner of cube so here
and
(So it will cancel out each other so electric field at center is due to Q 4 and Q 7
Here electric field at center 
As, 


In vector form 
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