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COMEDK2024MathematicsVector Algebra

If a= i - j + k , b=2 i - j + k and c= i - k , then the unit vector in the direction of a-b+c is

Options

  1. Ai - j 2
  2. Bk
  3. Cj - k 2
  4. Di + j - k 3

Correct answer

B. k

Step-by-step solution

We have a = i - j + k aligned & b=2 i - j + k & c= i - k aligned Vector along a-b+c= (a-b+c) aligned & = ( i - j + k -2 i + j - k + i - k ) & = (- k )=- k aligned Unit vector along a-b+c= ( a-b+c |a-b+c| ) = ( - k )= k

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