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AP EAMCET202315 May 2023Morning ShiftMathematicsVector AlgebraActual

If a =2 i +3 j , b =3 j +4 k and c =5 i +4 k are three vectors, then a vector which is perpendicular to a and b c is

Options

  1. A45 i -30 j +15 k
  2. B3 i -2 j + k
  3. C-30 i +20 j +4 k
  4. D-45 i +30 j +4 k

Correct answer

D. -45 i +30 j +4 k

Step-by-step solution

Vector perpendicular to a and ( b c ) will be aligned & a ( b + c )=( a c ) b -( a b ) c & =(10)(3 j +4 k )-(9)(5 i +4 k ) & =(-45 i +30 j +4 k ) aligned

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