The length of the perpendicular drawn from the point (2, 1, 4) to the plane containing \(\vec r = \left( {\hat i + \hat j} \right) + \lambda \left( {\hat i + 2\hat j - \hat k} \right)\;{\rm{and}}\;\vec r = \left( {\hat i + \hat j} \right) + \mu \left( { - \hat i + \hat j - 2\hat k} \right)\) is

• A. 3
• B. \(\frac{1}{3}\)
• C. \(\sqrt 3\)
• D. \(\frac{1}{{\sqrt 3 }}\)