Exercises 1 − 11 refer to the vectors in Eq. ( 14 ) . a = [ 1 − 1 ] , b = [ 2 − 3 ] , e = [ 0 0 ] . In Exercises 1 − 11 , either show that S p ( S ) = R 2 or give an algebraic specification for S p ( S ) . If S p ( S ) ≠ R 2 , then give a geometric description of S p ( S ) . S = { a , b , e } .
Exercises 1 − 11 refer to the vectors in Eq. ( 14 ) . a = [ 1 − 1 ] , b = [ 2 − 3 ] , e = [ 0 0 ] . In Exercises 1 − 11 , either show that S p ( S ) = R 2 or give an algebraic specification for S p ( S ) . If S p ( S ) ≠ R 2 , then give a geometric description of S p ( S ) . S = { a , b , e } .
Solution Summary: The author explains that if Sp(S)=R2 or to give an algebraic specification and geometric description, the subspace W consisting of all linear combinations of v_
Exercises
1
−
11
refer to the vectors in Eq.
(
14
)
.
a
=
[
1
−
1
]
,
b
=
[
2
−
3
]
,
e
=
[
0
0
]
.
In Exercises
1
−
11
, either show that
S
p
(
S
)
=
R
2
or give an algebraic specification for
S
p
(
S
)
. If
S
p
(
S
)
≠
R
2
, then give a geometric description of
S
p
(
S
)
.
S
=
{
a
,
b
,
e
}
.
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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