Let 𝑎 ⃗, 𝑏 ⃗ ⃗ and 𝑐 ⃗ be three vectors such that |𝑎 ⃗| = 3, |𝑏 ⃗ ⃗| = 4, |𝑐 ⃗| = 5 and each one of them being perpendicular to the sum of the other two, find |𝑎 ⃗ + 𝑏 ⃗ ⃗ + 𝑐 ⃗|
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