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AP EAMCET202125 Aug 2021Morning ShiftMathematicsThree Dimensional GeometryActual

If the line joining the points (k, 2,3) and (1,1,2) is parallel to the line joining the points (5,4,-1) and (3,2,-3) , then the value of k is equal to

Options

  1. A1
  2. B2
  3. C-2
  4. D3

Correct answer

B. 2

Step-by-step solution

Vector joining the points (k, 2,3) and (1,1,2) is aligned (k-1) i +(2 & -1) j +(3-2) k = & (k-1) i + j + k ...(i) aligned and vector joining the two points (5,4,-1) and (3,2,-3) is 2 i +2 j +2 k ...(ii) Eqs. (i) and (ii) are parallel vector. array lc & k-1 2 = 1 2 k-1=1 & k=2 array

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