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Chapter 9: Q. 23 (page 621)

In Problems, opposite vertices of a rectangular box whose edges are parallel to the coordinate axes are given. List the coordinates of the other six vertices of the box.

1,2,3;3,4,5

Short Answer

Expert verified

If 1,2,3&3,4,5are the opposite vertex of a cuboid then other vertices are3,2,3,1,4,5,1,4,3,3,2,5,1,2,5,&3,4,3

Step by step solution

01

Step 1. Given Data

Opposite vertices of the cuboid are

1,2,3&3,4,5

02

Step 2. vertices of cuboid 

Interchange the first coordinate of1,2,3&3,4,5

Then new vertices are3,2,3&1,4,5

Interchange the second coordinate of1,2,3&3,4,5

Then new vertices are1,4,3&3,2,5

Interchange the third coordinate of1,2,3&3,4,5

Then new vertices are1,2,5&3,4,3

So other vertices of the cuboid are3,2,3,1,4,5,1,4,3,3,2,5,1,2,5,&3,4,3

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