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Putnam
2022 Putnam
B2
B2
Part of
2022 Putnam
Problems
(1)
2022 Putnam B2
Source:
12/4/2022
Let
×
\times
×
represent the cross product in
R
3
.
\mathbb{R}^3.
R
3
.
For what positive integers
n
n
n
does there exist a set
S
⊂
R
3
S \subset \mathbb{R}^3
S
⊂
R
3
with exactly
n
n
n
elements such that
S
=
{
v
×
w
:
v
,
w
∈
S
}
?
S=\{v \times w: v, w \in S\}?
S
=
{
v
×
w
:
v
,
w
∈
S
}?
Putnam
Putnam 2022