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If veca, vecb and vecc are vectors such ...

If `veca, vecb and vecc` are vectors such that `|veca|=3,|vecb|=4 and |vec|=5 and (veca+vecb)` is perpendicular to `vecc,(vecb+vecc)` is perpendicular to `veca and (vecc+veca)` is perpendicular to `vecb` then `|veca+vecb+vecc|=` (A) `4sqrt(3)` (B) `5sqrt(2)` (C) 2 (D) 12

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