What is the norm of <−3,−1,−3>?

1 Answer
David G.
Feb 2, 2016

The norm is otherwise described as the normalized version of a vector: a unit vector in the same direction as the original vector. In this case: <−3√19,−1√19,−3√19>.

Explanation:

We need to find the length of the initial vector. For a vector <a,b,c>

l=√a2+b2+c2=√(−3)2+(−1)2+(−3)2=√9+1+9=√18

Then we simply divide each of the 3 elements by this length to yield a unit vector: <−3√19,−1√19,−3√19>.

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