1.2Dot Product
Definitions
:
The
dot product
of the vectors
a
and
b
is given by
Dot Product computation formula
From the definition, it follows that the angle between two vectors is given by
a
and
b
are
orthogonal
if and only if
Orthogonal complements
Scalar and Vector projections
Work
Examples:
Find
a
·
b
if
a
=
<
3
,
2
>
and
b
=
i

4
j
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Find the angle between
a
=
<
3
,
1
>
and
b
=
<

2
,
4
>
.
Find
x
such that
a
=
< x,
1
>
⊥
b
=
<
4 +
x,
3
>
If
a
=
i
+ 3
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '06
 ArtBelmonte
 Linear Algebra, Vectors, Dot Product, Force, 5 kg, 4j, 3j

Click to edit the document details