The maximum distance between two points of the unit cube isa)√2 ...
The distance from any vertex at the base of the cube to the vertex that is perpendicular along height to the diametrically opposite vertex is required.
We have to calculate DF.
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The maximum distance between two points of the unit cube can be found by considering the two opposite corners of the cube. The coordinates of these corners are (0,0,0) and (1,1,1).
Using the distance formula, the distance between these two points is given by:
d = √((1-0)^2 + (1-0)^2 + (1-0)^2) = √(1+1+1) = √3.
So, the maximum distance between two points of the unit cube is √3.