imo class 12 vector algebra

For any non-zero vector a, the value of (a.î)î + (a.ĵ)ĵ + (a.k̂)k̂ is:

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For any non-zero vector a, the value of (a.î)î + (a.ĵ)ĵ + (a.k̂)k̂ is:

  • A. 2a
  • B. a
  • C. 0
  • D. −a

Answer: B) a

Explanation: Let a = xî + yĵ + zk̂. Then a.î = x, a.ĵ = y, a.k̂ = z. Substituting these, we get xî + yĵ + zk̂ = a.

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