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Let veca,vecb and veccare vectors such t...

Let `veca,vecb and vecc`are vectors such that `|veca|=3,|vecb|=4and |vecc|=5, and (veca+vecb)` is perpendicular to `vecc,(vecb+vecc)` is perpendiculatr to `veca` and `(vecc+veca)` is perpendicular to `vecb`. Then find the value of `|veca+vecb+vecc|`.

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