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MHT CET20243 May 2024Evening ShiftMathematicsVector AlgebraActual

Let a = j - k and c = i - j - k . Then the vector b satisfying a b + c = 0 and a b =3 , is

Options

  1. A- i + j -2 k
  2. B2 i - j +2 k
  3. Ci - j -2 k
  4. Di + j -2 k

Correct answer

A. - i + j -2 k

Step-by-step solution

aligned & Given, a b + c =0 & a ( a b )+ a c =0 & ( a b ) a -( a a ) b + a c =0 & 3 a -2 ~b + a c =0 2 ~b =3 a + a c & 2 ~b =3 j -3 k -2 i - j - k =-2 i +2 j -4 k & b =- i + j -2 k aligned

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