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MHT CET202210 Aug 2022Evening ShiftMathematicsVector AlgebraActual

If a = i + j , b =2 i - k , then point of intersection of the lines r a = b a and r b = a b is

Options

  1. A(-3,1,-1)
  2. B(-3,-1,1)
  3. C(3,1,-1)
  4. D(3,1,1)

Correct answer

C. (3,1,-1)

Step-by-step solution

r a = b a and r b = a b aligned & r a =- r b [from (i) and (ii)] & r ( a + b )= 0 & r | a + b & r = ( a + b )= (3 i + j - k ) aligned Taking =1, r =3 i + j - k (3,1,-1)

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