Is this a Norm?

How is the following formula calculated, assuming $a$ and $b$ are $n$-dimensional vectors?

$\parallel \overrightarrow{a} – \overrightarrow{b}\parallel^2$

Answer

as $(\vec{a}-\vec{b}).(\vec{a}-\vec{b})$

Attribution
Source : Link , Question Author : Scholle , Answer Author : John McGee

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