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Mathematics
Problem
If the straight lines
x
=
−
1
+
s
x = -1 + s
x
=
−
1
+
s
,
y
=
3
−
λ
s
,
z
=
1
+
λ
s
and
x
=
t
2
,
y
=
1
+
t
,
z
=
2
−
t
,
with
y = 3 - \lambda s, z = 1 + \lambda s \text{ and } x = \frac{t}{2}, y = 1 + t, z = 2 - t, \text{ with}
y
=
3
−
λ
s
,
z
=
1
+
λ
s
and
x
=
2
t
,
y
=
1
+
t
,
z
=
2
−
t
,
with
parameters
s
s
s
and
t
t
t
, respectively, are coplanar, then find
λ
\lambda
λ
.
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