Find a unit vector in the direction of the vector \(\vec a = 3\hat i + 4\hat j - 5\hat k\;\) ?
1
\(\frac{3}{{5\sqrt 2 }}\;\hat i - \frac{4}{{5\sqrt 2 }}\;\hat j - \frac{1}{{\sqrt 2 }}\hat k\)
2
\(\frac{3}{{5\sqrt 2 }}\;\hat i + \frac{4}{{5\sqrt 2 }}\;\hat j - \frac{1}{{\sqrt 2 }}\hat k\)
3
\(\frac{3}{{5\sqrt 2 }}\;\hat i - \frac{4}{{5\sqrt 2 }}\;\hat j + \frac{1}{{\sqrt 2 }}\hat k\)
4
None of these