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Consider the vectors A = i + j - k , B =2 i - j + k , C = 1 5 ( i -2 j +2 k ) . What is the value of C .( A B ) ?

Options

  1. A1
  2. B0
  3. C3 2
  4. D18 5

Correct answer

B. 0

Step-by-step solution

Hint: C ( A B )= | array ccc 1 & 1 & -1 2 & -1 & 1 1 & -2 & 2 array |=1(-2+2)-1(4-1)-1(-4+1)=-3+3=0

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