For the vectors \(\rm \vec a = -4\hat i + 2\hat j\), \(\rm \vec b =2\hat i + \hat j\) and \(\rm \vec c = 2\hat i + 3\hat j\), if \(\rm \vec c = m\vec a + n\vec b\), then the value of m + n is:

1
\(\frac{1}{2}\)
2
\(\frac{3}{2}\)
3
\(\frac{5}{2}\)
4
\(\frac{7}{2}\)

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