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If |bar(a)| = 2, |bar(b)| = 3, |bar(c )|...

If `|bar(a)| = 2, |bar(b)| = 3, |bar(c )| = 4` and each of `bar(a), bar(b) , bar(c )` is perpendicular to the sum of the other two vectors, then find the magnitude of `bar(a) + bar(b) + bar(c )`.

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