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Given vec(a) is perpendicular to vecb+...

Given `vec(a)` is perpendicular to `vecb+vecc vecb `, is perpendicular to `vecc+veca` and `vecc` is perpendicular to `veca+vecb`. If `|veca|=1, |vecb|=2, |vecc|=3`, find `|veca+vecb+vecc|`

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