Question

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

Answer 1

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.