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Putnam
Putnam 1939
A4
Putnam 1939 A4
Putnam 1939 A4
Source:
August 20, 2021
Putnam
Problem Statement
Given
4
4
4
lines in Euclidean
3
−
3-
3
−
space:
L
1
:
x
=
1
,
y
=
0
;
L_1: x = 1, y = 0;
L
1
:
x
=
1
,
y
=
0
;
L
2
:
y
=
1
,
z
=
0
;
L_2: y = 1, z = 0;
L
2
:
y
=
1
,
z
=
0
;
L
3
:
x
=
0
,
z
=
1
;
L_3: x = 0, z = 1;
L
3
:
x
=
0
,
z
=
1
;
L
4
:
x
=
y
,
y
=
−
6
z
.
L_4: x = y, y = -6z.
L
4
:
x
=
y
,
y
=
−
6
z
.
Find the equations of the two lines which both meet all of the
L
i
.
L_i.
L
i
.
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