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Let vec a, vec b and vec c be the three ...

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

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The correct Answer is:
`therefore |vec a + vec b + vec c| = sqrt 50 = 5 sqrt2`
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