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AP EAMCET2013MathematicsThree Dimensional Geometry

The direction ratios of the two lines A B and A C are 1,-1,-1 and 2,-1,1 . The direction ratios of the normal to the plane A B C are

Options

  1. A2,3,-1
  2. B2,2,1
  3. C3,2,-1
  4. D-1,2,3

Correct answer

A. 2,3,-1

Step-by-step solution

Direction ratios of A B and A C are 1,-1,-1 and . array ll & x₂-x₁=1 & y₂-y₁=-1 & z₂-z₁=-1 array From Eqs. (i) and (ii), . array l x₂-x₃=3 x₃-x₂=-3 y₂-y₃=-2 y₃-y₂=2 z₂-z₃=0 z₃-z₂=0 array

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