Question
Find the angle between two vectors $\hat i - 2\hat j + 3\hat k$ and $3\hat i - 2\hat j + \hat k\;$
$ \Rightarrow \frac{{\overrightarrow a .\overrightarrow b }}{{\left| {\overrightarrow a } \right|\left| {\overrightarrow b } \right|}} = \cos \theta \Rightarrow \frac{{10}}{{14}} = \cos \theta $
$\Rightarrow \cos \theta = \frac{5}{7} \Rightarrow \theta = {\cos ^{ - 1}}\frac{5}{7} \\\\\\ $
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