Mathematics · 3D Geometry

If the angle θ between the line x + 1 1 = y - 1 2 = z - 2 2 and the plane 2x - y + √λ z + 4 = 0 is such that sin θ = 1 3 , then the value of λ is:

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If the angle &theta; between the line x + 1 1 = y - 1 2 = z - 2 2 and the plane 2x - y + &radic;&lambda; z + 4 = 0 is such that sin &theta; = 1 3 , then the value of &lambda; is: