Let
{
v
1
,
v
2
}
be an orthonormal set.
If
u
is in span{
v
1
,
v
2
}, then:
u
=
(
u
•
v
1
)
v
1
+
(
u
•
v
2
)
v
2
→
→
→
→
→
→
→
→
→
→
→
→
Sec 5.2.p2
Sunday, February 07, 2010
12:03 AM
Section5dot2Part2 Page 1

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Let
{
v
1
,
v
2
}
be an orthonormal set.
If
u
is in span{
v
1
,
v
2
}, then:
u
=
(
u
•
v
1
)
v
1
+
(
u
•
v
2
)
v
2
a scalar multiple
a scalar multiple
of
v
1
so parallel
of
v
2
so parallel
to
v
1
to
v
2
→
→
→
→
→
→
→
→
→
→
→
→
→
→
→
→
5.2.p2.1
Sunday, February 07, 2010
12:03 AM
Section5dot2Part2 Page 2