If \(\vec a = \;3\hat i + 2\hat j\;and\;\vec b = 2\hat i + 3\hat j\) are two vectors then find the value of \(\left| {\vec a - \;\vec b} \right|\) ?

1
\(\sqrt 7\)
2
\(\sqrt 5\)
3
\(\sqrt 3\)
4
\(\sqrt 2\)

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