Find the cartesian equation of the line which is drawn in the direction of \(\hat i + \;\hat j - 2\hat k\) and it passes through a point with position vector \(2\hat i - \hat j + 4\hat k\) ?
1
\(\frac{{x - 2}}{1} = \frac{{y + 1}}{1} = \frac{{z - 4}}{{\;2}}\)
2
\(\frac{{x - 2}}{1} = \frac{{y + 1}}{1} = \frac{{z - 4}}{{ - \;2}}\)
3
\(\frac{{x - 2}}{1} = \frac{{y + 1}}{1} = \frac{{z + 4}}{{\;2}}\)
4
\(\frac{{x - 2}}{1} = \frac{{y + 1}}{1} = \frac{{z + 4}}{{ - \;2}}\)