Find the perpendicular distance between the point (1, 1, 1) and the plane passing through the intersection of the planes 4x - y + z = 10 and x + y - z = 4 and parallel to the line having direction ratios 2, 1, 1 ?

1
\(\frac{{\sqrt 2 }}{5}\;\)
2
\(\frac{{3\sqrt 2 }}{5}\;\)
3
\(\frac{{3}}{5}\;\)
4
None of these

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