imo class 12 vector algebra

If two vectors are collinear, which of the following statements is ALWAYS false?

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If two vectors are collinear, which of the following statements is ALWAYS false?

  • A. They are scalar multiples of each other.
  • B. They can have different magnitudes.
  • C. They must have the same direction.
  • D. Their components are proportional.

Answer: C) They must have the same direction.

Explanation: Collinear vectors are parallel but can have opposite directions (anti-parallel). Thus, they don't must have the same direction.

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