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The coordinates of a point are (3, -2, 5). Write down the coordinates of seven points such that the absolute values of their coordinates are the same as those of the coordinates of the given point.

Given: 

Point

   

The Absolute value of any point

   

is given by,

   

We need to make sure that absolute value to be the same for all points.

So let the point

   

Remaining

   

points are:

   

(By changing the sign of y coordinate)

   

(By changing the sign of x coordinate)

   

(By changing the sign of z coordinate)

   

(By changing the sign of x and y coordinate)

   

(By changing the sign of y and z coordinate)

   

(By changing the sign of x and z coordinate)

   

(By changing the sign of x, y and z coordinate)