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See the picture below!!!

See the picture below!!!-example-1

1 Answer

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Answer:

See explanation

Explanation:

Write the coordinates of all vertices of cuboid:

  • O(0,0,0)
  • A(3,0,0)
  • C(0,4,0)
  • D(0,0,2)
  • E(3,0,2)
  • G(0,4,2)
  • B(3,4,0)
  • F(3,4,2)

The vector EG has coordinates (0-3,4-0,2-2)=(-3,4,0). The length of EG is


√((-3)^2+4^2+0^2)=√(9+16)=√(25)=5

The midpoint of EG has coordinates


\left((3+0)/(2),(0+4)/(2),(2+2)/(2)\right)=(1.5,2,2)

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