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Question 5 - Week 8 Practice | Prasnya
Q5
00:00
3 Aug 2025
Q5.
Consider
W
=
{
(
x
,
y
)
∈
R
2
:
x
+
y
=
0
}
W=\{(x,y)\in\mathbb{R}^2:x+y=0\}
W
=
{(
x
,
y
)
∈
R
2
:
x
+
y
=
0
}
as a subspace of
R
2
\mathbb{R}^2
R
2
with the usual inner product. Let
(
α
,
β
)
(\alpha,\beta)
(
α
,
β
)
be the projection of the vector
(
4
,
−
2
)
(4,-2)
(
4
,
−
2
)
on
W
W
W
. Find
α
−
β
\alpha-\beta
α
−
β
.
Your Answer
Save
Check
Details
Q5
00:00
3 Aug 2025
Q5.
Consider
W
=
{
(
x
,
y
)
∈
R
2
:
x
+
y
=
0
}
W=\{(x,y)\in\mathbb{R}^2:x+y=0\}
W
=
{(
x
,
y
)
∈
R
2
:
x
+
y
=
0
}
as a subspace of
R
2
\mathbb{R}^2
R
2
with the usual inner product. Let
(
α
,
β
)
(\alpha,\beta)
(
α
,
β
)
be the projection of the vector
(
4
,
−
2
)
(4,-2)
(
4
,
−
2
)
on
W
W
W
. Find
α
−
β
\alpha-\beta
α
−
β
.
Your Answer
Save
Check
Details
