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

Answer (Detailed Solution Below)

Option 2 :
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Detailed Solution

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Concept:

If the equation of the line is an  and equation of the plane is  . then the angle α  between line and direction parallel to the plane is, 

  

Calculation: 

Equation of line with X-axis is,

Equation of plane is  2x -3y +6z - = 0 

or in  vector form,     

∴   

⇒  = 

⇒ sin α =  

⇒ α = sin-1 (  )  

⇒ α = .

The correct option is 2.

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