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A plane cuts intercepts 2,2,1 on the coordinate axes. What are the direction cosines of the normal to the plane?

Options

  1. A2 / 3,2 / 3,1 / 3
  2. B1 / 3,2 / 3,2 / 3
  3. C1 6 , 1 6 , 2 6
  4. D2 6 , 1 6 , 1 6

Correct answer

C. 1 6 , 1 6 , 2 6

Step-by-step solution

Equation plane is x 2 + y 2 + z 1 =1 x+y+2 z-2=0 direction ratio's of normal are 1,1,2 So, Direction cosines of normal are 1 6 , 1 6 , 2 6

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