Question

What does it mean to normalize a vector?

Answer 1

It means to divide a vector by its length so that its length becomes 1; for example, the normalized vector `vec{u}` of `vec{v}=(3,4)` can be found by

`vec{u}={vec{v}}/{|vec{v}|}={(3,4)}/{sqrt{3^2+4^2}}={(3,4)}/5=(3/5,4/5)`.

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I hope that this was helpful.