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AP EAMCET20224 Jul 2022Morning ShiftMathematicsThree Dimensional GeometryActual

The point of intersection of the lines r → = 2 b → + t 6 c → - a → and r → = a → + s b → - 3 c → is

Options

  1. Aa → + b → + c →
  2. Bb → - c → - 6 a →
  3. C2 a → - b → + c →
  4. Da → + 2 b → - 6 c →

Correct answer

D. a → + 2 b → - 6 c →

Step-by-step solution

Given lines are r → = 2 b → + t 6 c → - a → and r → = a → + s b → - 3 c → For point of intersection of the lines, the coefficient of a → ,   b → ,   c → will be equal. i.e. 2 = s ,   6 t = - 3 s ,   t = - 1 Hence, the point of intersection will be 2 b → - 6 c → - a →

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