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Mathematics
Mathematics
Problem
For positive
l
,
m
l, m
l
,
m
and
n
n
n
, if the planes
x
=
n
y
+
m
z
x = ny + mz
x
=
n
y
+
m
z
,
y
=
l
z
+
n
x
y = lz + nx
y
=
l
z
+
n
x
,
z
=
m
x
+
l
y
z = mx + ly
z
=
m
x
+
l
y
intersect in a straight line, then
l
,
m
l, m
l
,
m
and
n
n
n
satisfy the equation a.
l
2
+
m
2
+
n
2
=
2
l^2 + m^2 + n^2 = 2
l
2
+
m
2
+
n
2
=
2
b.
l
2
+
m
2
+
n
2
+
2
l
m
n
=
1
l^2 + m^2 + n^2 + 2lmn = 1
l
2
+
m
2
+
n
2
+
2
l
mn
=
1
c.
l
2
+
m
2
+
n
2
=
1
l^2 + m^2 + n^2 = 1
l
2
+
m
2
+
n
2
=
1
d. None of these
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