imo class 12 vector algebra

Identify the incorrect property of the cross product of vectors.

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Identify the incorrect property of the cross product of vectors.

  • A. a × b = −(b × a)
  • B. a × a = 0
  • C. a × (b + c) = a × b + a × c
  • D. (a × b) × c = a × (b × c)

Answer: D) (a × b) × c = a × (b × c)

Explanation: The cross product is NOT associative. Therefore, (a × b) × c ≠ a × (b × c) in general.

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