Find a vector in the direction of the vector \(\vec a = 6\hat i - 2\hat j + 3\hat k\;\) whose magnitude is 4 units ?
1
\(\frac{24}{{7}}\;\hat i + \frac{8}{{7}}\;\hat j + \frac{12}{{7}}\hat k\)
2
\(\frac{24}{{7}}\;\hat i - \frac{8}{{7}}\;\hat j - \frac{12}{{7}}\hat k\)
3
\(\frac{24}{{7}}\;\hat i + \frac{8}{{7}}\;\hat j - \frac{12}{{7}}\hat k\)
4
\(\frac{24}{{7}}\;\hat i - \frac{8}{{7}}\;\hat j + \frac{12}{{7}}\hat k\)