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Mathematics
Mathematics
Problem
The number of real values of
k
k
k
for which the lines
x
1
=
y
−
1
k
=
z
−
1
\frac{x}{1} = \frac{y-1}{k} = \frac{z}{-1}
1
x
=
k
y
−
1
=
−
1
z
and
x
−
k
2
k
=
y
−
k
3
k
−
1
=
z
−
2
k
\frac{x-k}{2k} = \frac{y-k}{3k-1} = \frac{z-2}{k}
2
k
x
−
k
=
3
k
−
1
y
−
k
=
k
z
−
2
are coplanar, is
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