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Manipal MET2019MathematicsVector Algebra

If a =- i +2 j - k , b = i + j -3 k and c =-4 i - k , then a ( b c )+( a b ) c

Options

  1. A5 i +5 j -15 k
  2. B0
  3. C12 j +4 k
  4. D-3 i +6 j -3 k

Correct answer

A. 5 i +5 j -15 k

Step-by-step solution

aligned & a =- i +2 j - k , b = i + j -3 k & c =-4 i - k & a ( b c )+( a b ) c =( a c ) b & =(4+1)( i + j -3 k )=5 i +5 j -15 k aligned

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