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AP EAMCET202022 Sep 2020Morning ShiftMathematicsThree Dimensional GeometryActual

The cartesian equation of a line 2 x-3=3 y+1=5-6 z . The vector equation of the line passing through the point (7,-5,0) and parallel to the given line is

Options

  1. Ar=(5 i -7 j )+ (3 i +2 j - k )
  2. Br=(7 i +5 j )+ (3 i -2 j + k )
  3. Cr=(7 i -5 j )+ (3 i +2 j - k )
  4. Dr=(-5 i +7 j )+ (-3 i -2 j - k )

Correct answer

C. r=(7 i -5 j )+ (3 i +2 j - k )

Step-by-step solution

Equation of given line is aligned & 2 x-3=3 y+1=5-6 z & x- 3 2 3 = y+ 1 3 2 = z- 5 6 -1 aligned Equation of line passes through point (7,-5,0) and having paralleI vector 3 i +2 j - k is r =(7 i -5 j )+ (3 i +2 j - k )

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