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This program uses the following equations. Coordinate conversion:
X = R sin(P) cos(T)
Y = R sin(P) sin(T)
Z = R cos(P)
Vector addition and subtraction:
Cross product:
v
1
Dot Product:
Angle between vectors ( γ ):
where
v
= X i + Y j + Z k
1
and
v
=U i + V j + W k
2
The vector displayed by the input routines (LBL P and LBL R) is V
Program Listing:
15–2 Mathematics Programs
File name 32sii-Manual-E-0424
Printed Date : 2003/4/24
v
+ v
= (X + U)i + (Y + V)j + (Z + W)k
1
2
v
– v
= (U – X)i + (V – Y)j + (W – Z)k
2
1
× v
= (YW – ZV )i + (ZU – XW)j + (XV – YU)k
2
D = XU + YV + ZW
G = arccos
Size : 17 .7 x 25.2 cm
+
+
X
Y
Z
R =
2
2
T = arctan (Y/X)
Z
P = arctan
+
X
Y
2
D
×
R
R
1
2
2
2
.
1
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