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MHT CET20227 Aug 2022Evening ShiftMathematicsVector AlgebraActual

A vector with magnitude of 3 units, which is perpendicular to each of the vectors a =3 i + j -4 k and b =6 i +5 j -2 k , is given by

Options

  1. A(2 i -2 j + k )
  2. B(2 i +2 j - k )
  3. C(2 i -2 j - k )
  4. D(2 i +2 j + k )

Correct answer

A. (2 i -2 j + k )

Step-by-step solution

aligned & The required vector = 3 ( a b | a b | )= 3(18 i -18 j +9 k ) 18^2+18^2+9^2 & = 3(18 i -18 j +9 k ) 27 = (2 i -2 j + k ) aligned

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