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AP EAMCET202120 Aug 2021Morning ShiftMathematicsThree Dimensional GeometryActual

Let a → = i ^ and b → = j ^ is the point of intersection of the lines r → × a → = b → × a → and r → × b → = a → × b → is

Options

  1. Ar → = i ^ + j ^
  2. Br → = i ^ - j ^
  3. Cr → = k ^
  4. Dr → = 2 i ^ + j ^

Correct answer

A. r → = i ^ + j ^

Step-by-step solution

Given, r → × a → = b → × a → ∴ r → - b → × a → = 0 The Equation of line is, r → = b → + p a → Similarly, for second line r → × b → = a → × b → The Equation of line is r → = b → + q a → As they both intersect b → + q a → = b → + p a → On comparing the coefficients we get p = q = 1 Hence, the equation of line is r → = b → + a → ⇒ r →

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