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Direction cosines of the normal to the plane containing the lines x 2 = y 3 = z 5 and x - 1 2 = y - 1 3 = z - 1 5 are

Options

  1. A2 14 , - 3 14 , 5 14
  2. B2 14 , - 3 14 , 1 14
  3. C2 14 , - 1 14 , 1 14
  4. D3 13 , - 2 13 , 1

Correct answer

B. 2 14 , - 3 14 , 1 14

Step-by-step solution

The normal vector to the plane = i ^ j ^ k ^ 1 1 1 2 3 5 = 2 i ^ - 3 j ^ + k ^ Hence, direction cosines are 2 14 , - 3 14 , 1 14

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