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The vertices of a cube are (0,0,0) (0,0,1 ), (0,1,0), (1,0,0) (1,1,0) , (1, 0,1),(0,1,1) and (1,1,1) An insect starts from the origin and reaches the vertex (1,1,1) by crawling on the surface of the cube such that it travels the minimum distance Find the direction cosines of all the possible line segments of all the possible paths.

The vertices of a cube are (0,0,0)  (0,0,1 ), (0,1,0), (1,0,0)  (1,1,0) , (1, 0,1),(0,1,1) and (1,1,1)  An insect starts from the origin and reaches the vertex (1,1,1) by crawling on the surface of the cube such that it travels the minimum distance  Find the direction cosines of all the possible line segments of all the possible paths. 

Grade:12

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
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Vikas TU
14149 Points
3 years ago
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