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MHT CET202123 Sep 2021Evening ShiftMathematicsThree Dimensional GeometryActual

The vector equation of the line passing through P (1,2,3) and Q (2,3,4) is

Options

  1. A( i +2 j +3 k )+ ( i + j + k )
  2. B( i +2 j +3 k )+ ( i - j - k )
  3. C( i +2 j +3 k )+ (2 i +3 j +4 k )
  4. D( i +2 j +3 k )+ (2 i +6 j +12 k )

Correct answer

A. ( i +2 j +3 k )+ ( i + j + k )

Step-by-step solution

d.r. of line through PQ are [(2,-1),(3,-2),(4,-3)] i.e. (1,1,1) Hence required equation of line is ( i +2 j +3 k )+ ( i + j + k )

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