Graphics Reference
In-Depth Information
Scalar product
λ
v
=
λx
i
+
λy
j
+
λz
k
.
Magnitude
x
2
y
2
z
2
.
|
v
|=
+
+
Unit vector
|
v
|=
1
.
Scalar product
v
1
·
v
2
=|
v
1
||
v
2
|
cos
β
v
1
·
v
2
=
x
1
x
2
+
y
1
y
2
+
z
1
z
2
.
Vector product
v
1
×
v
2
=
t
|
t
|=|
v
1
||
v
2
|
sin
β
v
1
×
v
2
=
(y
1
z
2
−
z
1
y
2
)
i
+
(z
1
x
2
−
x
1
z
2
)
j
+
(x
1
y
2
−
y
1
x
2
)
k
.
Interpolating vectors
sin
(
1
−
t) θ
sin
tθ
sin
θ
v
=
v
1
+
v
2
[
0
<t<
1
]
.
sin
θ
