Answer:
See explanation
Step-by-step 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
[tex]\sqrt{(-3)^2+4^2+0^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]
The midpoint of EG has coordinates
[tex]\left(\dfrac{3+0}{2},\dfrac{0+4}{2},\dfrac{2+2}{2}\right)=(1.5,2,2)[/tex]
