imo class 12 vector algebra

The value of î.(ĵ × k̂) + ĵ.(î × k̂) + k̂.(î × ĵ) is:

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The value of î.(ĵ × k̂) + ĵ.(î × k̂) + k̂.(î × ĵ) is:

  • A. 0
  • B. 1
  • C. 3
  • D. −1

Answer: B) 1

Explanation: ĵ × k̂ = î, î × k̂ = −ĵ, î × ĵ = k̂. Substituting these: î.î + ĵ.(−ĵ) + k̂.k̂ = 1 − 1 + 1 = 1.

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