Let `vec(A),vec(B),vec(C )` be vectors of length 3, 4, 5, respectively Let `overset(to)(A)` be

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Let `vec(A),vec(B),vec(C )` be vectors of length 3, 4, 5, respectively Let `overset(to)(A)` be perpendicular to `overset(to)(B) +overset(to)(C ) , overset(to)(B) \" to \" overset(to)( C) + overset(to)(A) \" and \" overset(to)(C )` to `overset(to)(A) +overset(to)(B)` then the length of vector `overset(to)(A) +overset(to)(B)+overset(to)(C )` is .......
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why cant we add 3 + 4 + 5 =12 to get the answer

rutamupadhye