imo class 12 three dimensional geometry

A line AB in 3D space is given. The projection of AB on the x, y, and z axes are 6, −3, and 2 respectively. The length of AB is:

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A line AB in 3D space is given. The projection of AB on the x, y, and z axes are 6, −3, and 2 respectively. The length of AB is:

  • A. 5
  • B. 6
  • C. 7
  • D. 8

Answer: C) 7

Explanation: Length of projection on axes corresponds to the components of the vector AB. Length = √(6² + (−3)² + 2²) = √(36 + 9 + 4) = √49 = 7.

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