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Lethata, hatb, hatc be vectons of length...

Let`hata, hatb, hatc` be vectons of length 3,4, 5 respectively. Let `hata` be perpendicular to `(hatb+hatc), hatb` to `(hatc+hata)`, and `hatc` to `(hata + hatb)`,. Then `|hata+hatb+hatc|` is

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