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Mathematics
Problem
Which of the following sets of three vectors is mutually perpendicular? a)
{
(
1
,
2
,
0
)
,
(
0
,
−
1
,
1
)
,
(
2
,
1
,
0
)
}
\{(1,2,0), (0,-1,1), (2,1,0)\}
{(
1
,
2
,
0
)
,
(
0
,
−
1
,
1
)
,
(
2
,
1
,
0
)}
b)
{
(
1
,
1
,
0
)
,
(
1
,
−
1
,
0
)
,
(
1
,
0
,
1
)
}
\{(1,1,0), (1,-1,0), (1,0,1)\}
{(
1
,
1
,
0
)
,
(
1
,
−
1
,
0
)
,
(
1
,
0
,
1
)}
c)
{
(
2
,
0
,
1
)
,
(
0
,
1
,
1
)
,
(
1
,
1
,
0
)
}
\{(2,0,1), (0,1,1), (1,1,0)\}
{(
2
,
0
,
1
)
,
(
0
,
1
,
1
)
,
(
1
,
1
,
0
)}
d)
{
(
1
,
1
,
0
)
,
(
1
,
−
1
,
0
)
,
(
0
,
0
,
1
)
}
\{(1,1,0), (1,-1,0), (0,0,1)\}
{(
1
,
1
,
0
)
,
(
1
,
−
1
,
0
)
,
(
0
,
0
,
1
)}
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