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Chapter 9: Q. 26 (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.

-2,-3,0;-6,7,1

Short Answer

Expert verified

If -2,-3,0&-6,7,1are the opposite vertex of a cuboid then other vertices are-2,-3,1,-6,7,0,-2,7,0,-6,-3,1,-2,-3,1,&-6,7,0

Step by step solution

01

Step 1. Given Data

Opposite vertices of the cuboid are

-2,-3,0&-6,7,1

02

Step 2vertices of cuboid 

Interchange the first coordinate of-2,-3,0&-6,7,1

Then new vertices are-6,-3,0&-2,7,1

Interchange the second coordinate of-2,-3,0&-6,7,1

Then new vertices are-2,7,0&-6,-3,1

Interchange the third coordinate of-2,-3,0&-6,7,1

Then new vertices are-2,-3,1&-6,7,0

So other vertices of the cuboid are-2,-3,1,-6,7,0,-2,7,0,-6,-3,1,-2,-3,1,&-6,7,0

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