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Four point charges \(q_1\), \(q_2\), \(q_3\) and \(q_4\) with charges \(\text{1C, 2C, 3C, 4C}\) are placed at coordinates (0,0,0) , (1,0,0), (0,1,0) and (0,0,1) respectively.

Assuming one unit equal to one meter, find \(\sum \vec{F_{i}}\) , where \(\vec{F_{i}}\) represents force on one due to rest three.

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