imo class 12 vector algebra

A kite flying during Makar Sankranti has a position vector 3î + 4ĵ + 12k̂ meters from a child on the ground. How far is the kite from the child?

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A kite flying during Makar Sankranti has a position vector 3î + 4ĵ + 12k̂ meters from a child on the ground. How far is the kite from the child?

  • A. 13 m
  • B. 14 m
  • C. 15 m
  • D. 19 m

Answer: A) 13 m

Explanation: Distance is the magnitude of the position vector. √((3)² + (4)² + (12)²) = √(9 + 16 + 144) = √169 = 13 meters.

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