Grade 12Analytical Geometry
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.
