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AP EAMCET2001MathematicsThree Dimensional Geometry

If P=(0,1,2), Q=(4,-2,1), O=(0,0,0) , then P O Q is equal to

Options

  1. A2
  2. B4
  3. C6
  4. D3

Correct answer

A. 2

Step-by-step solution

We have, Direction cosines of O Q are 4-0,-2-0,1-0 i.e. 4,-2,1 Direction cosines of O P are 0-0,1-0,2-0 i.e. 0,1,2 Then, aligned & =l₁ l₂+m₁ m₂+n₁ n₂ & =4 0+(-2) 1+1 2 & =0-2+2=0 & =0= 2 & = 2 aligned

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