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Mathematics
Mathematics
Problem
Consider a cube with vertices
A
,
B
,
C
,
D
A, B, C, D
A
,
B
,
C
,
D
on the bottom face and
E
,
F
,
G
,
H
E, F, G, H
E
,
F
,
G
,
H
on the top face (where
E
E
E
is above
A
A
A
). Find the cosine of the angle between the space diagonal
A
G
AG
A
G
and the face diagonal
A
C
AC
A
C
.
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