In Exercises 1 − 4 , verify that { u 1 , u 2 , u 3 } is an orthogonal set for the given vectors. u 1 = [ 2 1 2 ] , u 2 = [ 1 2 − 2 ] , u 3 = [ − 2 2 1 ] .
In Exercises 1 − 4 , verify that { u 1 , u 2 , u 3 } is an orthogonal set for the given vectors. u 1 = [ 2 1 2 ] , u 2 = [ 1 2 − 2 ] , u 3 = [ − 2 2 1 ] .
Solution Summary: The author explains that the set u_1,.., is an orthogonal set for the given vectors.
In Exercises
1
−
4
, verify that
{
u
1
,
u
2
,
u
3
}
is an orthogonal set for the given vectors.
u
1
=
[
2
1
2
]
,
u
2
=
[
1
2
−
2
]
,
u
3
=
[
−
2
2
1
]
.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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