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Mathematics
Mathematics
Problem
The shortest distance between any two opposite edges of the tetrahedron formed by planes
x
+
y
=
0
,
y
+
z
=
0
,
z
+
x
=
0
,
x
+
y
+
z
=
a
x + y = 0, y + z = 0, z + x = 0, x + y + z = a
x
+
y
=
0
,
y
+
z
=
0
,
z
+
x
=
0
,
x
+
y
+
z
=
a
is constant, equal to a.
2
a
2a
2
a
b.
2
a
6
\frac{2a}{\sqrt{6}}
6
2
a
c.
a
6
\frac{a}{\sqrt{6}}
6
a
d.
2
a
3
\frac{2a}{\sqrt{3}}
3
2
a
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