Length of a vector

Hi! We have 2 vectors: a(1;2;-5) and b(1;-6;15). To calculate length of the vector 3a+b
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If we write a=i+2j-5k and b=i-6j+15k, where i, j and k are Cartesian unit vectors, then 3a=3i+6j-15k. When we calculate 3a+b, we get 4i because the other parts cancel out. Therefore the vector 3a+b has a length of 4.

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