Given:

Points are (5, 0, 2) and (3, -2, 5)

We need to find the lengths of the edges of the parallelepiped formed

For point (5, 0, 2)

x_{1} = 5, y_{1} = 0 and z_{1} = 2

For point (3, -2, 5)

x_{2} = 3, y_{2} = -2 and z_{2} = 5

Plane parallel to coordinate planes of x_{1} and x_{2} is yz-plane

Plane parallel to coordinate planes of y_{1} and y_{2} is xz-plane

Plane parallel to coordinate planes of z_{1} and z_{2} is xy-plane

Distance between planes x_{1} = 5 and x_{2} = 3 is 5 – 3 = 2

Distance between planes x_{1} = 0 and y_{2} = -2 is 0 – (-2) = 0 + 2 = 2

Distance between planes z_{1} = 2 and z_{2} = 5 is 5 – 2 = 3

The edges of parallelepiped is 2, 2, 3

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