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AP EAMCET202120 Aug 2021Evening ShiftMathematicsThree Dimensional GeometryActual

The direction cosines of the line joining the points ( - 2 , 4 , - 5 ) and ( 1 , 2 , 3 ) are

Options

  1. A3 77 , - 2 77 , 8 77
  2. B3 77 , 2 77 , 8 77
  3. C1 , 0 , 0
  4. D- 3 77 , - 2 77 , 8 77

Correct answer

A. 3 77 , - 2 77 , 8 77

Step-by-step solution

Let P = - 2 , 4 , - 5  and  Q = 1 , 2 , 3 Direction ratio of P Q → = 3 , - 2 , 8 Direction Cosine= P Q → P Q → = l , m , n l = 3 3 2 + - 2 2 + 8 2 = 3 77 similarly m = - 2 77 , n = 8 77 l , m , n = 3 77 , - 2 77 , 8 77

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