Linear Algebra Quiz
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VECTOR SPACES & SUBSPACES
Question 1
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Given vectors
u
⃗
=
⟨
1
,
−
2
,
3
⟩
\vec{u} = \langle 1, -2, 3 \rangle
u
=
⟨
1
,
−
2
,
3
⟩
,
v
⃗
=
⟨
0
,
1
,
−
1
⟩
\vec{v} = \langle 0, 1, -1 \rangle
v
=
⟨
0
,
1
,
−
1
⟩
, and
w
⃗
=
⟨
3
,
k
,
5
⟩
\vec{w} = \langle 3, k, 5 \rangle
w
=
⟨
3
,
k
,
5
⟩
in
R
3
\mathbb{R}^3
R
3
. For what value of
k
k
k
is
w
⃗
\vec{w}
w
in the plane spanned by
u
⃗
\vec{u}
u
and
v
⃗
\vec{v}
v
?
A
−
10
-10
−
10
B
−
2
-2
−
2
C
4
4
4
D
10
10
10
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