Find a unit vector in the direction of the vector \(\vec a = \;\hat i + 2\hat j + 3\hat k\) ?
1
\(\frac{1}{{\sqrt {14} }}\;\hat i + \frac{2}{{\sqrt {14} }}\;\hat j + \frac{3}{{\sqrt {14} }}\;\hat k\)
2
\(\frac{1}{{\sqrt {14} }}\;\hat i - \frac{2}{{\sqrt {14} }}\;\hat j + \frac{3}{{\sqrt {14} }}\;\hat k\)
3
\(\frac{1}{{\sqrt {14} }}\;\hat i - \frac{2}{{\sqrt {14} }}\;\hat j - \frac{3}{{\sqrt {14} }}\;\hat k\)
4
None of these