What is a vector of unit length orthogonal to both the vectors \(\hat i + \hat j + \hat k\) and \(2\hat i + 3\hat j - \hat k\) ?
1
\(\frac{{ - 4\hat i + 3\hat j - \hat k}}{{\sqrt {26} }}\)
2
\(\frac{{ - 4\hat i + 3\hat j + \hat k}}{{\sqrt {26} }}\)
3
\(\frac{{ - 3\hat i + 2\hat j - \hat k}}{{\sqrt {14} }}\)
4
\(\frac{{ - 3\hat i + 2\hat j + \hat k}}{{\sqrt {14} }}\)