Let
u
⃗
=
⟨
1
,
−
1
,
1
,
−
2
⟩
\displaystyle \vec{{{u}}}={\left\langle{1},-{1},{1},-{2}\right\rangle}
u
=
⟨
1
,
−
1
,
1
,
−
2
⟩
,
v
⃗
=
⟨
−
4
,
−
3
,
2
,
−
2
⟩
\displaystyle \vec{{{v}}}={\left\langle-{4},-{3},{2},-{2}\right\rangle}
v
=
⟨
−
4
,
−
3
,
2
,
−
2
⟩
.
Then
u
⃗
⋅
v
⃗
=
\displaystyle \vec{{{u}}}\cdot\vec{{{v}}}=
u
⋅
v
=
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