imo class 12 vector algebra

A drone delivering medicines in a hilly terrain changes its position from A(10, 20, 30) to B(50, 40, 10) in meters. The displacement vector of the drone is:

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A drone delivering medicines in a hilly terrain changes its position from A(10, 20, 30) to B(50, 40, 10) in meters. The displacement vector of the drone is:

  • A. 40î + 20ĵ − 20k̂
  • B. 60î + 60ĵ + 40k̂
  • C. −40î − 20ĵ + 20k̂
  • D. 40î + 20ĵ + 20k̂

Answer: A) 40î + 20ĵ − 20k̂

Explanation: Displacement = Position B − Position A = (50−10)î + (40−20)ĵ + (10−30)k̂ = 40î + 20ĵ − 20k̂.

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