Vector Length

The length of a vector $v(x,y,z)$ can be computed as

$mag = \sqrt[]{x^{2} + y^{2} + z^{2}}$

In CG, we normally need a vector which is unit length, aka a normalized vector. To obtain a normalized vector just divide its components by the vector’s magnitude.

$\displaystyle n = \frac{v}{|v|}$

i.e., the components of vector $n$ will be:

$\displaystyle n = (\frac{x}{mag}, \frac {y}{mag}, \frac{z}{mag})$

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Vector Length

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