In Exercises 1 − 4 , verify that { u 1 , u 2 , u 3 } is an orthogonal set for the given vectors. u 1 = [ 1 1 1 ] , u 2 = [ − 1 0 1 ] , u 3 = [ − 1 2 − 1 ] .
In Exercises 1 − 4 , verify that { u 1 , u 2 , u 3 } is an orthogonal set for the given vectors. u 1 = [ 1 1 1 ] , u 2 = [ − 1 0 1 ] , u 3 = [ − 1 2 − 1 ] .
In Exercises
1
−
4
, verify that
{
u
1
,
u
2
,
u
3
}
is an orthogonal set for the given vectors.
u
1
=
[
1
1
1
]
,
u
2
=
[
−
1
0
1
]
,
u
3
=
[
−
1
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.
Differential Equations and Linear Algebra (4th Edition)
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