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AP EAMCET2002MathematicsThree Dimensional Geometry

If P=(0,1,0), Q=(0,0,1) , then the projection of P Q on the plane x+y+z=3 is

Options

  1. A2
  2. B2
  3. C3
  4. D3

Correct answer

B. 2

Step-by-step solution

Direction ratios of P Q =(0-0,0-1,1-0)=(0,-1,1) Direction cosine = (|0|, |- 1 2 |, | 1 2 | ) The given plane is x+y+z=3 Direction ratios of the plane are (1,1,1) Length of the projection aligned & =0.1+1 1 2 +1 1 2 & = 2 2 = 2 aligned

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