Graphics Reference
In-Depth Information
Fig. 3.9
Interpolating between two unit vectors 179° apart
Fig. 3.10
Interpolating
between the vectors
[
2
T
]
T
[
]
and
01
3.15 Summary
This chapter has covered the important features of vectors relevant to rotations. Ba-
sically, we need to know how to create a position vector, normalise a vector, and
multiply two vectors using the scalar and vector product. In Chap. 6, we explore the
ideas of multivectors, which build upon the contents of this chapter.
3.15.1 Summary of Vector Operations
Vector
T
v
=[
xyz
]
v
=
x
i
+
y
j
+
z
k
.
Addition and subtraction
v
1
=
x
1
i
+
y
1
j
+
z
1
k
v
2
=
x
2
i
+
y
2
j
+
z
2
k
v
1
±
v
2
=
(x
1
±
x
2
)
i
+
(y
1
±
y
2
)
j
+
(z
1
±
z
2
)
k
.
