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The plane 2x – 3y + 6z – 11 = 0 makes an angle sin^–1(α) with x-axis. The value of α is equal to

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The plane 2x – 3y + 6z – 11 = 0 makes an angle sin–1(α) with x-axis. The value of α is equal to

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Given equation of plane is 2x – 3y + 6z = 11

Normal to this plane is,

Also, we know the angle ϕ between the line with direction vector b and the plane with normal vector n is

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