Determine the value of λ if planes 2x + 4y – 4z = 6 and λx + 3y + 9 = 0 make an angle of  \({\cos ^{ - 1}}\left( {\frac{1}{{\sqrt 2 }}} \right)\).

1
\(1,\;\frac{4}{7}\)
2
\(2,\;\frac{2}{7}\)
3
\(3,\;\frac{3}{7}\)
4
\(2,\;\frac{3}{7}\)

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