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Chapter 9: Q. 25 (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.

-1,0,2;4,2,5

Short Answer

Expert verified

If -1,0,2&4,2,5are the opposite vertex of a cuboid then other vertices are-1,2,2,4,0,5,4,0,2,-1,2,5,-1,0,5,&4,2,2

Step by step solution

01

Step 1. Given Data

Opposite vertices of the cuboid are

-1,0,2&4,2,5

02

Step 2. vertices of cuboid 

Interchange the first coordinate of-1,0,2&4,2,5

Then new vertices are4,0,2&-1,2,5

Interchange the second coordinate ofrole="math" localid="1646782861201" -1,0,2&4,2,5

Then new vertices are-1,2,2&4,0,5

Interchange the third coordinate of-1,0,2&4,2,5

Then new vertices are-1,0,5&4,2,2

So other vertices of the cuboid are-1,2,2,4,0,5,4,0,2,-1,2,5,-1,0,5,&4,2,2

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