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# Geometry - Coordinate Planes

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Draw a rectangular box that has P and Q as opposite vertices and has its faces parallel to the coordinate planes.
Then find the coordinates of the other six vertices of the box and the length of the diagonal of the box

P(1,1,2) Q(3,4,5)

© BrainMass Inc. brainmass.com March 21, 2019, 4:49 pm ad1c9bdddf
https://brainmass.com/math/geometry-and-topology/geometry-coordinate-planes-199529

#### Solution Preview

The solution file is attached.

Draw a rectangular box that has P and Q as opposite vertices and has its faces parallel to the coordinate planes.
Then find the coordinates of the other six vertices of the box and the length of the diagonal of the box
P(1,1,2) Q(3,4,5)

P(1, 1, 2) means P is 1 unit away from the YZ plane, 1 unit away from the XZ plane and 2 units away ...

#### Solution Summary

The expert examines the coordinate planes in geometry. Neat and step-wise solution with diagrams is provided.

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