If θ is the angle between 1 x + 1 = 2 y − 1 = 2 z − 2 and the plane 2 x − y + λ z + 4 = 0 and is such that sin θ = 1/3 , the value of λ =

Sin θ = 3 5 + λ 2 − 2 + 2 λ = 3 1 λ = 3 5 \

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Mathematics3D-Coordinate GeometryLine (Including direction cosines etc.)Easy2 min

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If $θ$ is the angle between $\frac{x + 1}{1} = \frac{y - 1}{2} = \frac{z - 2}{2}$ and the plane $2 x - y + λ z + 4 = 0$ and is such that $sin θ = 1/3$ , the value of $λ =$

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Answer:

Solution:

$Sin θ = \frac{2 - 2 + 2 λ}{3 5 + λ} = \frac{1}{3}$

$λ = \frac{5}{3}$ \

Stream:JEESubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Line (Including direction cosines etc.)

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