15–2 Mathematics
Programs
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm
This program uses the following equations. Coordinate conversion:
X
=
R
sin(
P
) cos(
T
)
R
=
2
2
2
Z
Y
X
+
+
Y
= R sin(
P
) sin(
T
)
T
= arctan (
Y
/
X
)
Z
=
R
cos(
P
)
P
= arctan
2
2
Y
X
Z
+
Vector addition and subtraction:
v
1
+
v
2
= (
X
+
U
)i + (
Y
+
V
)j + (
Z
+
W
)k
v
2
– v
1
= (
U
–
X
)i + (
V
–
Y
)j + (
W
–
Z
)k
Cross product:
v
1
×
v
2
= (
YW
–
ZV
)i + (
ZU
–
XW
)j + (
XV
–
YU
)k
Dot Product:
D
=
XU
+
YV
+
ZW
Angle between vectors (
γ
):
G
= arccos
2
1
R
R
D
×
where
v
1
=
X
i
+
Y
j
+
Z
k
and
v
2
=
U
i
+
V
j
+
W
k
The vector displayed by the input routines (LBL P and LBL R) is V
1
.
Program Listing:
