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AP EAMCET201920 Apr 2019Evening ShiftMathematicsThree Dimensional GeometryActual

The point of intersection of the lines represented by r =( i +2 j - k )+ (2 i +3 j +4 k ) and r =(- i -3 j +7 k )+ ( i +2 j - k ) is

Options

  1. A3 i +5 j +3 k
  2. B5 i +8 j +7 k
  3. C- i - j -5 k
  4. D-3 i -4 j -9 k

Correct answer

A. 3 i +5 j +3 k

Step-by-step solution

Let point P is the point of intersection of given lines r =( i +2 j - k )+ (2 i +3 j +4 k ) and r =(- i -3 j +7 k )+ ( i +2 j - k ) So, for point P , From Eqs. (i) and (iii), we get =1 and =4 , which satisfy the Eq. (ii), so required point of intersection P is 3 i +5 j +3 k . Hence, option (a) is correct.

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