In Exercise 1-8, W is a subset of R 2 consisting of vectors of the form x = [ x 1 x 2 ] In each case determine whether W is a subspace of R 2 . If W is a subspace, then give a geometric description of W . W = { x : x 1 = 2 x 2 }
In Exercise 1-8,
W
is a subset of
R
2
consisting of vectors of the form
x
=
[
x
1
x
2
]
In each case determine whether
W
is a subspace of
R
2
. If
W
is a subspace, then give a geometric description of
W
.
W
=
{
x
:
x
1
=
2
x
2
}
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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