How do you normalize <0,2,0>?

1 Answer
David G.
May 21, 2016

Normalizing a vector involves dividing each of its elements by the length of the vector, so that we end up with a vector of unit length in the same direction as the original vector. In this case <0,1,0>.

Explanation:

First find the length of the original vector:

l=sqrt(0^2+2^2+0^2)=sqrt4=2

Now divide each element by this length, and the normalised vector is <0/2,2/2, 0/2> = <0,1,0>

This makes sense: our original vector was of length 2 in the x (or (j) direction, and the normalised vector is in the same direction and of length 1 unit.

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