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Question 2 - Week 8 Practice | Prasnya
Q2
00:00
6 Apr 2026
Q2.
Which of the following sets form an orthonormal basis for
W
W
W
? Choose all correct options.
@passage
A
{
1
2
(
1
,
−
1
,
0
)
}
\left\{\frac{1}{\sqrt{2}}(1,-1,0)\right\}
{
2
1
(
1
,
−
1
,
0
)
}
B
{
1
2
(
−
1
,
1
,
0
)
}
\left\{\frac{1}{\sqrt{2}}(-1,1,0)\right\}
{
2
1
(
−
1
,
1
,
0
)
}
C
{
(
1
,
−
1
,
0
)
}
\{(1,-1,0)\}
{(
1
,
−
1
,
0
)}
D
{
1
2
(
1
,
1
,
0
)
}
\left\{\frac{1}{\sqrt{2}}(1,1,0)\right\}
{
2
1
(
1
,
1
,
0
)
}
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Q2
00:00
6 Apr 2026
Q2.
Which of the following sets form an orthonormal basis for
W
W
W
? Choose all correct options.
@passage
A
{
1
2
(
1
,
−
1
,
0
)
}
\left\{\frac{1}{\sqrt{2}}(1,-1,0)\right\}
{
2
1
(
1
,
−
1
,
0
)
}
B
{
1
2
(
−
1
,
1
,
0
)
}
\left\{\frac{1}{\sqrt{2}}(-1,1,0)\right\}
{
2
1
(
−
1
,
1
,
0
)
}
C
{
(
1
,
−
1
,
0
)
}
\{(1,-1,0)\}
{(
1
,
−
1
,
0
)}
D
{
1
2
(
1
,
1
,
0
)
}
\left\{\frac{1}{\sqrt{2}}(1,1,0)\right\}
{
2
1
(
1
,
1
,
0
)
}
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Check
Details
