Three Dimensional Geometry

The distance between the line \(r = 2\widehat i - 2\widehat j + 3\widehat k + \lambda (\widehat i - \widehat j + 4\widehat k)\) and the plane \(a\,.\,(\widehat i + 5\widehat j + \widehat k) = 5\) is