Question

See the picture below!!!

Answer 1

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

$\sqrt{(-3)^2+4^2+0^2}=\sqrt{9+16}=\sqrt{25}=5$

The midpoint of EG has coordinates

$\left(\dfrac{3+0}{2},\dfrac{0+4}{2},\dfrac{2+2}{2}\right)=(1.5,2,2)$