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KCET2008MathematicsVector Algebra

If a i = a ( i + j )= a ( i + j + k )=1 then a is equal to

Options

  1. Ai + j
  2. Bi - k
  3. Ci
  4. Di + j - k

Correct answer

C. i

Step-by-step solution

Let a = a ₁ i + a ₂ j + a ₃ k Given, a i = a ( i + j )= a ( i + j + k )=1 a ₁= a ₁+ a ₂= a ₁+ a ₂+ a ₃=1 a ₁=1, a ₂=0, a ₃=0 a = i

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